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## Lifshitz as a deformation of Anti-de Sitter

Citations: | 4 - 2 self |

### Citations

778 |
Conformal Field Theory
- Francesco, Matthieu, et al.
- 1997
(Show Context)
Citation Context ...1+ ix2, z̄ = x1− ix2 4. The vector operator J ≡ Jz has dimension (hJ , h̄J), while J̄ ≡ Jz̄ has dimension (hJ̄ , h̄J̄). The stress energy tensor is defined as usual by Tµν = 2√g δSδgµν and (following =-=[67]-=-) we also define T (z) = −2πTzz (162) with a similar formula for the anti-holomorphic part. T has the standard normalization for a 2d CFT while the normalization of the holographic stress energy tenso... |

615 |
Central charges in the canonical realization of asymptotic symmetries: An example from three-dimensional gravity
- Brown, Henneaux
- 1986
(Show Context)
Citation Context ...(33) = 1 2 ( −g[0](0)ijR + 24π c 〈Tij〉[0] ) where the holographic energy momemtum tensor satisfies [58, 59] ∇j〈Tij〉[0] = 0, 〈T ii 〉[0] = c 24π R (34) and c = 3/2G is the Brown-Henneaux central charge =-=[60]-=- (recall that we set the AdS radius equal to one). We also record the holographic counterterms: Sct[0] = − 18πG3 ∫ d2x √−γ(1 + 1 2 R[γ]r0), (35) where r0 is the radial cutoff. 12 3.1.2 First order in ... |

453 |
Holographic reconstruction of spacetime and renormalization
- Haro, Solodukhin, et al.
(Show Context)
Citation Context ...or any z. Since the models are non-relativistic it is natural to use the vielbein formalism [48, 10] and this is indeed what was used in [49]. Here however we will proceed by using the methodology in =-=[56]-=- and the metric formulation. The reason for using the metric formulation is that we 9 are studying the theory from the perspective of the AdS critical point and the formulation in [56] gives the asymp... |

360 |
String theory. Vol. 1: An introduction to the bosonic string
- Polchinski
- 1998
(Show Context)
Citation Context ...y introduced a local term needed for Lorentz invariance (at order ǫ0) and absorbed other local terms in holomorphic function 3Our Euclidean conventions are w = x+ itE , w̄ = x− itE following those of =-=[66]-=-. 29 F (w). Integrating (117) we obtain 〈Jww(w)Jww(0)〉 = −ǫ2CJ16 ( 1 w3w̄ + 12 w̄ log |w|2 − 5 4 w̄ w5 ) (122) + ǫ2 c/2 (2π)2 w̄ w5 + 1 (2π)2 c/2 w4 + ǫ2(−w̄∂F (w) +G(w)), where G(w) is also local. A ... |

343 | Lectures on holographic methods for condensed matter physics,” arXiv:0903.3246 [hep-th
- Hartnoll
(Show Context)
Citation Context ...siderable interest in recent years in using gauge/gravity duality as a tool for modelling strongly coupled physics, in particular with a view to possible applications to condensed matter physics (see =-=[1, 2, 3, 4, 5]-=- for reviews). Several interesting condensed matter systems exhibit strongly interacting non-relativistic scale invariant fixed points and one may hope to use gauge/gravity duality to study them. With... |

300 |
Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry,” Phys
- Son
(Show Context)
Citation Context ...ibit strongly interacting non-relativistic scale invariant fixed points and one may hope to use gauge/gravity duality to study them. With such applications in mind, gravity solutions with Schrödinger =-=[6, 7]-=- and Lifshitz [8, 9] isometries were constructed and studied. A key idea in holographic approaches is that the gravity models may allow us to uncover new universality classes, not easily accessible wi... |

176 |
Comments on string theory backgrounds with non-relativistic conformal symmetry
- Maldacena, Martelli, et al.
(Show Context)
Citation Context ... source them and they cannot be ignored. Indeed, in all known consistent truncations that involve massive vectors one needs to keep additional scalar fields, see for example the first such truncation =-=[44]-=-. This is related to the fact that the OPE of the vector operator with itself may contain operators other than the stress energy tensor and we will revisit this issue in section 5. Looking at the spec... |

159 |
The Holographic Weyl anomaly, JHEP 9807
- Henningson, Skenderis
- 1998
(Show Context)
Citation Context ...ates that we work at order ǫ0, as follows [57, 56] g[0](2)ij = 1 2 ( −g[0](0)ijR + (16πG3)〈Tij〉[0] ) (33) = 1 2 ( −g[0](0)ijR + 24π c 〈Tij〉[0] ) where the holographic energy momemtum tensor satisfies =-=[58, 59]-=- ∇j〈Tij〉[0] = 0, 〈T ii 〉[0] = c 24π R (34) and c = 3/2G is the Brown-Henneaux central charge [60] (recall that we set the AdS radius equal to one). We also record the holographic counterterms: Sct[0] ... |

155 |
Lectures on Holographic Superfluidity and Superconductivity
- Herzog
- 2009
(Show Context)
Citation Context ...siderable interest in recent years in using gauge/gravity duality as a tool for modelling strongly coupled physics, in particular with a view to possible applications to condensed matter physics (see =-=[1, 2, 3, 4, 5]-=- for reviews). Several interesting condensed matter systems exhibit strongly interacting non-relativistic scale invariant fixed points and one may hope to use gauge/gravity duality to study them. With... |

150 | Holographic duality with a view toward many-body physics,” arXiv:0909.0518
- McGreevy
(Show Context)
Citation Context ...siderable interest in recent years in using gauge/gravity duality as a tool for modelling strongly coupled physics, in particular with a view to possible applications to condensed matter physics (see =-=[1, 2, 3, 4, 5]-=- for reviews). Several interesting condensed matter systems exhibit strongly interacting non-relativistic scale invariant fixed points and one may hope to use gauge/gravity duality to study them. With... |

148 | Conformal Field Theory Correlators from Classical Scalar Field Theory
- Mück, Viswanathan
- 1998
(Show Context)
Citation Context ...FT dual to the Lifshitz geometry in three bulk dimensions we need to compute the 2-point function 〈Ji(x)Jj(0)〉 holographically and compare its normalization to that in the CFT. Our discussion follows =-=[75]-=-: note that in [75] only the case of noninteger conformal dimension was considered but the result can be extracted 58 from there by analytic continuation. The Euclidean action for the bulk vector fiel... |

139 | Petkou, “Implications of Conformal Invariance in Field Theories for General Dimensions,” Annals Phys
- Osborn, C
- 1994
(Show Context)
Citation Context ...g that in our holographic model CJ = 1/(4π2G3) one can check that even the overall coefficient of the anomaly agrees with the gravity computation. 5.2.4 d>2 In this section we adapt the discussion of =-=[69]-=- to the case of the 3-point function 〈Tµν(x1)Jσ(x2)Jρ(x3)〉, where J is a vector field of dimension ∆ (equivalent results can be obtained using the embedding formalism [70]). Here we will assume that t... |

134 |
Gravity duals for non-relativistic CFTs,” Phys
- Balasubramanian, McGreevy
- 2008
(Show Context)
Citation Context ...ibit strongly interacting non-relativistic scale invariant fixed points and one may hope to use gauge/gravity duality to study them. With such applications in mind, gravity solutions with Schrödinger =-=[6, 7]-=- and Lifshitz [8, 9] isometries were constructed and studied. A key idea in holographic approaches is that the gravity models may allow us to uncover new universality classes, not easily accessible wi... |

74 | Non-relativistic holography
- Taylor
(Show Context)
Citation Context ...cting non-relativistic scale invariant fixed points and one may hope to use gauge/gravity duality to study them. With such applications in mind, gravity solutions with Schrödinger [6, 7] and Lifshitz =-=[8, 9]-=- isometries were constructed and studied. A key idea in holographic approaches is that the gravity models may allow us to uncover new universality classes, not easily accessible with perturbation theo... |

70 |
Lifshitz spacetimes from AdS null and cosmological solutions,
- Balasubramanian, Narayan
- 2010
(Show Context)
Citation Context ...irections and the well-known subtleties associated with AdS2 holography). The second case is that of z = 2 Lifshitz which can be obtained by a reduction from z = 0 Schrödinger in one dimension higher =-=[16, 11, 17]-=-. These higher dimensional solutions are asymptotically AdS and therefore holography for z = 2 Lifshitz can be derived by dimensional reduction, following [18, 19]. This procedure for obtaining the ho... |

63 |
Correlation functions
- Papadimitriou, Skenderis
(Show Context)
Citation Context ... identities they satisfy. Holographic renormalization for Lifshitz solutions was studied in [48, 49, 50, 51, 52, 53]. In particular, it was established in [49], using the radial Hamiltonian formalism =-=[54, 55]-=-, that these models can be holographically renormalized for any z. Since the models are non-relativistic it is natural to use the vielbein formalism [48, 10] and this is indeed what was used in [49]. ... |

62 |
Holographic stress tensor for non-relativistic theories,” arXiv:0907.1846 [hep-th
- Ross, Saremi
(Show Context)
Citation Context ...ameter ǫ. Our aim is to derive the holographic one point functions (in the presence of sources) and the Ward identities they satisfy. Holographic renormalization for Lifshitz solutions was studied in =-=[48, 49, 50, 51, 52, 53]-=-. In particular, it was established in [49], using the radial Hamiltonian formalism [54, 55], that these models can be holographically renormalized for any z. Since the models are non-relativistic it ... |

54 | Universal hydrodynamics of non-conformal branes
- Kanitscheider, Skenderis
(Show Context)
Citation Context ...rödinger in one dimension higher [16, 11, 17]. These higher dimensional solutions are asymptotically AdS and therefore holography for z = 2 Lifshitz can be derived by dimensional reduction, following =-=[18, 19]-=-. This procedure for obtaining the holographic dictionary was followed in [20, 21], reducing the results obtained in [22]. This system has the additional advantage that it can be embedded in supergrav... |

52 |
Constructing Lifshitz solutions from AdS,
- Cassani, Faedo
- 2011
(Show Context)
Citation Context ...is procedure for obtaining the holographic dictionary was followed in [20, 21], reducing the results obtained in [22]. This system has the additional advantage that it can be embedded in supergravity =-=[23, 24, 25, 26]-=-. However, the reduction circle becomes null at infinity which implies the dual theory should be related to the Discretized Light Cone Quantization (DLCQ) of the deformed CFT corresponding to the z = ... |

50 | Quantum Gravity at a Lifshitz Point
- Hořava
(Show Context)
Citation Context ...e have already been studied with a view to applications that range from quantum Hall system to graphene to high Tc superconductivity, etc. We also note that at long distances Horǎva-Lifshitz gravity =-=[36]-=- has a dynamical exponent that approaches z = 1. We further add that experimental evidence for critical behavior with dynamical exponent close to one has been reported in [37, 38, 39] for the transiti... |

49 |
Nepomechie, “Gauge Invariance Versus Masslessness
- Deser, I
- 1984
(Show Context)
Citation Context ...e theory by a dimension 2 vector operator. The second term A is the correction to the trace anomaly and it must be a Weyl invariant. In fact this term is related to the Weyl invariant action given in =-=[64]-=- which in our conventions and in arbitrary dimension d > 2 can be written as L = −1 4 FijF ij − d− 4 2d (∇iAi)2 + d− 42 SijA iAj − d− 4 8(d− 1)RAiA i, (63) where Sij = 1 d− 2 ( Rij − R2(d− 1)gij ) (64... |

42 |
Holography for asymptotically locally Lifshitz spacetimes
- Ross
(Show Context)
Citation Context ...ameter ǫ. Our aim is to derive the holographic one point functions (in the presence of sources) and the Ward identities they satisfy. Holographic renormalization for Lifshitz solutions was studied in =-=[48, 49, 50, 51, 52, 53]-=-. In particular, it was established in [49], using the radial Hamiltonian formalism [54, 55], that these models can be holographically renormalized for any z. Since the models are non-relativistic it ... |

38 |
Weyl Consistency Conditions and a Local Renormalization Group Equation for General Renormalizable Field Theories, Nucl. Phys. B363
- Osborn
- 1991
(Show Context)
Citation Context ...(ρ) ρ2 ∫ d2z1A(z1)Ā(z1). (186) This divergence is removed by a local counterterm which is the counterpart of (47). The generating functional of connected diagrams transforms under Weyl variations as =-=[68]-=- δWW = dW d log(Λ) = ∂W ∂ log(Λ) + ∑ i βiOi + a, (187) where βi are the beta functions for the operators coupled to Oi and a is the trace anomaly (not to be confused with A). In our case there are non... |

31 |
Holography for Schrodinger backgrounds,
- Guica, Skenderis, et al.
- 2011
(Show Context)
Citation Context ...adjusted such that the solution becomes a deformation of AdS one may use the standard AdS/CFT correspondence in order to understand the nature of the dual field theory. This approach was exploited in =-=[10]-=- (see also [7, 11, 12, 13, 14]) where it was shown that the theory dual to Schrödinger geometries is a deformation of a relativistic CFT by specific operators which, although irrelevant from the persp... |

28 |
Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction,
- Gouteraux, Smolic, et al.
- 2012
(Show Context)
Citation Context ...rödinger in one dimension higher [16, 11, 17]. These higher dimensional solutions are asymptotically AdS and therefore holography for z = 2 Lifshitz can be derived by dimensional reduction, following =-=[18, 19]-=-. This procedure for obtaining the holographic dictionary was followed in [20, 21], reducing the results obtained in [22]. This system has the additional advantage that it can be embedded in supergrav... |

23 |
Holographic renormalization of general dilaton-axion gravity,
- Papadimitriou
- 2011
(Show Context)
Citation Context ...aphy for z = 2 Lifshitz can be derived by dimensional reduction, following [18, 19]. This procedure for obtaining the holographic dictionary was followed in [20, 21], reducing the results obtained in =-=[22]-=-. This system has the additional advantage that it can be embedded in supergravity [23, 24, 25, 26]. However, the reduction circle becomes null at infinity which implies the dual theory should be rela... |

22 |
Integer quantum Hall transition: An alternative approach and exact results. Phys
- Ludwig, Fisher, et al.
- 1994
(Show Context)
Citation Context ...th dynamical exponents close to one have appeared in the condensed matter literature. A sample of such models include quantum spin systems with quenched disorder [27], models for quantum Hall systems =-=[28, 29]-=-, graphene [30, 31], spin liquids in the presence of non-magnetic disorder [32] and quantum transitions to and from the superconducting state in high Tc superconductors [33, 34, 35]. It turns out that... |

21 | Holography for chiral scale-invariant models,
- Costa, Taylor
- 2011
(Show Context)
Citation Context ...hat the solution becomes a deformation of AdS one may use the standard AdS/CFT correspondence in order to understand the nature of the dual field theory. This approach was exploited in [10] (see also =-=[7, 11, 12, 13, 14]-=-) where it was shown that the theory dual to Schrödinger geometries is a deformation of a relativistic CFT by specific operators which, although irrelevant from the perspective of the original relativ... |

21 | Quantum effective action from the AdS - Skenderis, Solodukhin - 2000 |

20 |
Holography and the Weyl anomaly,” Fortsch.Phys
- Henningson, Skenderis
(Show Context)
Citation Context ...ates that we work at order ǫ0, as follows [57, 56] g[0](2)ij = 1 2 ( −g[0](0)ijR + (16πG3)〈Tij〉[0] ) (33) = 1 2 ( −g[0](0)ijR + 24π c 〈Tij〉[0] ) where the holographic energy momemtum tensor satisfies =-=[58, 59]-=- ∇j〈Tij〉[0] = 0, 〈T ii 〉[0] = c 24π R (34) and c = 3/2G is the Brown-Henneaux central charge [60] (recall that we set the AdS radius equal to one). We also record the holographic counterterms: Sct[0] ... |

19 |
Holographic renormalization for irrelevant operators and multi-trace counterterms,
- Rees
- 2011
(Show Context)
Citation Context ...irst sight this looks problematic since the divergences appear to be nonlocal, due to the term involving 〈Tij〉[0]. However, this is only a “pseudo non-local” divergence, similar to those discussed in =-=[61, 62]-=-. The non-locality disappears when we express everything in terms of induced fields at the regulated surface r = r0. To find the counterterm action we invert equation (36): ǫA(0)i = e −rAi + · · · . (... |

17 |
Anomalous Breaking of Anisotropic Scaling
- Baggio, Boer, et al.
(Show Context)
Citation Context ...ameter ǫ. Our aim is to derive the holographic one point functions (in the presence of sources) and the Ward identities they satisfy. Holographic renormalization for Lifshitz solutions was studied in =-=[48, 49, 50, 51, 52, 53]-=-. In particular, it was established in [49], using the radial Hamiltonian formalism [54, 55], that these models can be holographically renormalized for any z. Since the models are non-relativistic it ... |

16 |
A fefferman-graham-like expansion for null warped ads(3
- Guica
(Show Context)
Citation Context ...hat the solution becomes a deformation of AdS one may use the standard AdS/CFT correspondence in order to understand the nature of the dual field theory. This approach was exploited in [10] (see also =-=[7, 11, 12, 13, 14]-=-) where it was shown that the theory dual to Schrödinger geometries is a deformation of a relativistic CFT by specific operators which, although irrelevant from the perspective of the original relativ... |

16 |
Quantum critical point in graphene approached in the limit of infinitely strong coulomb interaction
- Son
- 2007
(Show Context)
Citation Context ...nts close to one have appeared in the condensed matter literature. A sample of such models include quantum spin systems with quenched disorder [27], models for quantum Hall systems [28, 29], graphene =-=[30, 31]-=-, spin liquids in the presence of non-magnetic disorder [32] and quantum transitions to and from the superconducting state in high Tc superconductors [33, 34, 35]. It turns out that none of these mode... |

15 | Holographic Renormalization for z=2 Lifshitz Space-Times from AdS”,
- Chemissany, Geissbuhler, et al.
- 2012
(Show Context)
Citation Context ...are asymptotically AdS and therefore holography for z = 2 Lifshitz can be derived by dimensional reduction, following [18, 19]. This procedure for obtaining the holographic dictionary was followed in =-=[20, 21]-=-, reducing the results obtained in [22]. This system has the additional advantage that it can be embedded in supergravity [23, 24, 25, 26]. However, the reduction circle becomes null at infinity which... |

14 |
Universality and exactness of Schrodinger geometries
- Kraus, Perlmutter
(Show Context)
Citation Context ...hat the solution becomes a deformation of AdS one may use the standard AdS/CFT correspondence in order to understand the nature of the dual field theory. This approach was exploited in [10] (see also =-=[7, 11, 12, 13, 14]-=-) where it was shown that the theory dual to Schrödinger geometries is a deformation of a relativistic CFT by specific operators which, although irrelevant from the perspective of the original relativ... |

14 |
Melby-Thompson, “Lifshitz Gravity for Lifshitz Holography
- Griffin, Horava, et al.
(Show Context)
Citation Context ...eory could be related to a relativistic field theory, but it is nonetheless highly non-trivial that they are continuously connected. It has been argued in various works, see the recent discussions in =-=[73, 74]-=-, that holography for Lifshitz theories would more naturally be described using nonrelativistic Hořava-Lifshitz type gravities. It would be interesting to explore the relationship between the non-rela... |

13 |
Holographic renormalization, Nucl.Phys. B631
- Bianchi, Freedman, et al.
- 2002
(Show Context)
Citation Context ... is the field strength of A(0)i. This is precisely the correct diffeomorphism Ward identity. 17 The terms in the rhs represent the contribution due to the coupling of vector operator (see for example =-=[63]-=-). There is no explicit ǫ dependence in this equation and this suggests it may hold beyond the small ǫ limit. Let us now turn to the trace identity. Computing 〈T ii 〉[2] leads to 〈T ii 〉[2] = − 1 8πG3... |

12 |
Anisotropic corrections to correlation functions in finite size systems, Nucl. Phys. B290
- Cardy
- 1987
(Show Context)
Citation Context ...νρ + gµρgνσ − 2 d gµνgσρ, h̃µνσρ(x) = xµxσ x2 gνρ + xνxσ x2 gµρ − xµxρ x2 gνσ − xνxρ x2 gµσ. Under conformal transformations the transformation of the current is given by the integral over the sphere =-=[71]-=- δJσ(0) = − ∫ x=ǫ αµ(x)Tµν(x)x νxd−2Jσ(0)dΩ (201) where dΩ is normalized such that ∫ dΩ = 1. If we now consider a dilatation αµ = αxµ under which δJσ(0) = ∆αJσ(0) we get ∆Jσ(0) = − ∫ xµxνxd−2Aµνσρ(x)J... |

12 |
An alternative IIB embedding of F(4) gauged supergravity,
- Jeong, Kelekci, et al.
- 2013
(Show Context)
Citation Context ...arily reflect the views of the John Templeton Foundation. We would like to thank Nikolay Bobev and Balt van Rees for collaboration during an early phase of this work. sions, which were pointed out in =-=[72]-=-. Alternative uplifts of these six-dimensional solutions to type IIB supergravity were found in [72]. 52 A Useful formulae Under a general transformation gij → gij + δgij the Christoffel symbols and R... |

11 |
The fluctuating seven sphere in eleven-dimensional supergravity”, Phys
- Biran, Casher, et al.
- 1984
(Show Context)
Citation Context ...cations one finds that there are indeed massive vectors in the required range. The spectrum of AdS3 × S3 ×K3 [45] contains a massive vector with M2 = 1 which leads to z = 1. The spectrum of AdS4 × S7 =-=[46]-=- contains two massive vectors in the allowed range. The first has mass M2 = 3/4 and the associated dynamical exponent is z = (45 + 3 √ 209)/6 ≈ 14.72 while the second has mass M2 = 2 and can be associ... |

11 |
Irrelevant deformations and the holographic Callan- Symanzik equation,” arXiv:1105.5396 [hep-th
- Rees
(Show Context)
Citation Context ...irst sight this looks problematic since the divergences appear to be nonlocal, due to the term involving 〈Tij〉[0]. However, this is only a “pseudo non-local” divergence, similar to those discussed in =-=[61, 62]-=-. The non-locality disappears when we express everything in terms of induced fields at the regulated surface r = r0. To find the counterterm action we invert equation (36): ǫA(0)i = e −rAi + · · · . (... |

10 |
Non-relativistic holography from Horava gravity
- Janiszewski, Karch
- 2013
(Show Context)
Citation Context ...eory could be related to a relativistic field theory, but it is nonetheless highly non-trivial that they are continuously connected. It has been argued in various works, see the recent discussions in =-=[73, 74]-=-, that holography for Lifshitz theories would more naturally be described using nonrelativistic Hořava-Lifshitz type gravities. It would be interesting to explore the relationship between the non-rela... |

8 | Correlation functions for Schródinger backgrounds
- Rees
(Show Context)
Citation Context |

8 |
Holographic Renormalization for Asymptotically
- Mann, McNees
- 2011
(Show Context)
Citation Context |

6 | Lifshitz-like systems and AdS null deformations,
- Narayan
- 2011
(Show Context)
Citation Context ...irections and the well-known subtleties associated with AdS2 holography). The second case is that of z = 2 Lifshitz which can be obtained by a reduction from z = 0 Schrödinger in one dimension higher =-=[16, 11, 17]-=-. These higher dimensional solutions are asymptotically AdS and therefore holography for z = 2 Lifshitz can be derived by dimensional reduction, following [18, 19]. This procedure for obtaining the ho... |

5 |
Flows involving Lifshitz solutions, Class.Quant.Grav
- Braviner, Gregory, et al.
(Show Context)
Citation Context ...nd in [40] for the superconductor to metal transition in the overdoped region. From the bulk side, top down embeddings of Lifshitz solutions with z ≥ 1 were found in [41] and were further explored in =-=[42]-=- and [43]. We will discuss in the conclusions the implications of our results for such top down solutions with z close to one. This paper is organized as follows. In the next section we present the gr... |

3 | Theory of Superconductivity, Lect.Notes Phys - Horowitz - 2011 |

3 |
From d3-branes to lifshitz space-times, Class.Quant.Grav
- Chemissany, Hartong
- 2011
(Show Context)
Citation Context ...are asymptotically AdS and therefore holography for z = 2 Lifshitz can be derived by dimensional reduction, following [18, 19]. This procedure for obtaining the holographic dictionary was followed in =-=[20, 21]-=-, reducing the results obtained in [22]. This system has the additional advantage that it can be embedded in supergravity [23, 24, 25, 26]. However, the reduction circle becomes null at infinity which... |

3 |
A Note on Supersymmetric Type
- Petrini, Zaffaroni
(Show Context)
Citation Context ...is procedure for obtaining the holographic dictionary was followed in [20, 21], reducing the results obtained in [22]. This system has the additional advantage that it can be embedded in supergravity =-=[23, 24, 25, 26]-=-. However, the reduction circle becomes null at infinity which implies the dual theory should be related to the Discretized Light Cone Quantization (DLCQ) of the deformed CFT corresponding to the z = ... |

3 |
Coulomb interactions at quantum hall critical points of systems in a periodic potential,” Physical Review Letters,
- Ye, Sachdev
- 1998
(Show Context)
Citation Context ...th dynamical exponents close to one have appeared in the condensed matter literature. A sample of such models include quantum spin systems with quenched disorder [27], models for quantum Hall systems =-=[28, 29]-=-, graphene [30, 31], spin liquids in the presence of non-magnetic disorder [32] and quantum transitions to and from the superconducting state in high Tc superconductors [33, 34, 35]. It turns out that... |

3 |
Electric-field-effect modulation of the transition temperature, mobile carrier density, and in-plane penetration depth of ndba2cu3o7−δ thin films
- Matthey, Reyren, et al.
- 2007
(Show Context)
Citation Context ...Horǎva-Lifshitz gravity [36] has a dynamical exponent that approaches z = 1. We further add that experimental evidence for critical behavior with dynamical exponent close to one has been reported in =-=[37, 38, 39]-=- for the transition from the insulator to superconductor in the underdoped region of certain high Tc superconductors and in [40] for the superconductor to metal transition in the overdoped region. Fro... |

3 |
Superfluid density in a highly underdoped YBa2Cu3O6+y superconductor
- Broun, Huttema, et al.
(Show Context)
Citation Context ...Horǎva-Lifshitz gravity [36] has a dynamical exponent that approaches z = 1. We further add that experimental evidence for critical behavior with dynamical exponent close to one has been reported in =-=[37, 38, 39]-=- for the transition from the insulator to superconductor in the underdoped region of certain high Tc superconductors and in [40] for the superconductor to metal transition in the overdoped region. Fro... |

2 |
Correlation between superfluid density and Tc of underdoped YBa2Cu3O6+x near the superconductor-insulator transition
- Zuev, Kim, et al.
- 2005
(Show Context)
Citation Context ...Horǎva-Lifshitz gravity [36] has a dynamical exponent that approaches z = 1. We further add that experimental evidence for critical behavior with dynamical exponent close to one has been reported in =-=[37, 38, 39]-=- for the transition from the insulator to superconductor in the underdoped region of certain high Tc superconductors and in [40] for the superconductor to metal transition in the overdoped region. Fro... |

1 |
Critical behavior of m-component magnets with correlated impurities, Phys
- Boyanovsky, Cardy
- 1982
(Show Context)
Citation Context ...del. A number of theoretical models with dynamical exponents close to one have appeared in the condensed matter literature. A sample of such models include quantum spin systems with quenched disorder =-=[27]-=-, models for quantum Hall systems [28, 29], graphene [30, 31], spin liquids in the presence of non-magnetic disorder [32] and quantum transitions to and from the superconducting state in high Tc super... |

1 |
Role of nonmagnetic disorder on the stability of the u(1) spin liquid: A renormalization group study, Phys
- Kim
- 2004
(Show Context)
Citation Context ...e. A sample of such models include quantum spin systems with quenched disorder [27], models for quantum Hall systems [28, 29], graphene [30, 31], spin liquids in the presence of non-magnetic disorder =-=[32]-=- and quantum transitions to and from the superconducting state in high Tc superconductors [33, 34, 35]. It turns out that none of these models are governed by an action of the form (1) (although some ... |

1 |
Zero-temperature d-wave superconducting phase transition, Phys
- Herbut
(Show Context)
Citation Context ...r quantum Hall systems [28, 29], graphene [30, 31], spin liquids in the presence of non-magnetic disorder [32] and quantum transitions to and from the superconducting state in high Tc superconductors =-=[33, 34, 35]-=-. It turns out that none of these models are governed by an action of the form (1) (although some can be viewed as a deformation of a (free) CFT, albeit a different type of deformation). One may then ... |

1 |
Critical exponents at the superconductor-insulator transition in dirty-boson systems
- Herbut
- 2000
(Show Context)
Citation Context ...r quantum Hall systems [28, 29], graphene [30, 31], spin liquids in the presence of non-magnetic disorder [32] and quantum transitions to and from the superconducting state in high Tc superconductors =-=[33, 34, 35]-=-. It turns out that none of these models are governed by an action of the form (1) (although some can be viewed as a deformation of a (free) CFT, albeit a different type of deformation). One may then ... |

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Nature of the quantum insulator to superconductor and superconductor to normal state transitions in cuprate superconductors, eprint arXiv:cond-mat/0104053
- Schneider
- 2001
(Show Context)
Citation Context ...r quantum Hall systems [28, 29], graphene [30, 31], spin liquids in the presence of non-magnetic disorder [32] and quantum transitions to and from the superconducting state in high Tc superconductors =-=[33, 34, 35]-=-. It turns out that none of these models are governed by an action of the form (1) (although some can be viewed as a deformation of a (free) CFT, albeit a different type of deformation). One may then ... |

1 |
Superconductor-to-metal quantum phase transition in overdoped la2−xsrxcuo4, Phys
- Lemberger, Hetel, et al.
(Show Context)
Citation Context ...avior with dynamical exponent close to one has been reported in [37, 38, 39] for the transition from the insulator to superconductor in the underdoped region of certain high Tc superconductors and in =-=[40]-=- for the superconductor to metal transition in the overdoped region. From the bulk side, top down embeddings of Lifshitz solutions with z ≥ 1 were found in [41] and were further explored in [42] and [... |

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An analytic Lifshitz black brane
- Korovin, Skenderis, et al.
(Show Context)
Citation Context ...s (see equation (42)). Using (69) we finally obtain 〈Tij〉 = 0, (73) which is indeed what we would expect, since this geometry should be dual to the (scale invariant) vacuum of the Lifshitz theory. In =-=[65]-=- we will discuss the black hole solution in the deformed theory, which corresponds to a thermal state in the Lifshitz theory. 3.2 Analysis for d=3 3.2.1 Zeroth order in ǫ The analysis at order ǫ0 was ... |