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123
Breaking an Abelian gauge symmetry near a black hole horizon
, 2008
"... I argue that coupling the Abelian Higgs model to gravity plus a negative cosmological constant leads to black holes which spontaneously break the gauge invariance via a charged scalar condensate slightly outside their horizon. This suggests that black holes can superconduct. ..."
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Cited by 274 (8 self)
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I argue that coupling the Abelian Higgs model to gravity plus a negative cosmological constant leads to black holes which spontaneously break the gauge invariance via a charged scalar condensate slightly outside their horizon. This suggests that black holes can superconduct.
Holographic duality with a view toward manybody physics
, 2009
"... These are notes based on a series of lectures given at the KITP workshop Quantum Criticality and the AdS/CFT Correspondence in July, 2009. The goal of the lectures was to introduce condensed matter physicists to the AdS/CFT correspondence. Discussion of string theory and of supersymmetry is avoided ..."
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Cited by 150 (2 self)
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These are notes based on a series of lectures given at the KITP workshop Quantum Criticality and the AdS/CFT Correspondence in July, 2009. The goal of the lectures was to introduce condensed matter physicists to the AdS/CFT correspondence. Discussion of string theory and of supersymmetry is avoided to the extent possible.
The gravity dual of a pwave superconductor
, 2008
"... We construct black hole solutions to the YangMills equations in an AdS4Schwarzschild background which exhibit superconductivity. What makes these backgrounds pwave superconductors is that the order parameter is a vector, and the conductivities are strongly anisotropic in a manner that is suggesti ..."
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Cited by 124 (4 self)
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We construct black hole solutions to the YangMills equations in an AdS4Schwarzschild background which exhibit superconductivity. What makes these backgrounds pwave superconductors is that the order parameter is a vector, and the conductivities are strongly anisotropic in a manner that is suggestive of a gap with nodes. The lowlying excitations of the normal state have a relaxation time which grows rapidly as the temperature decreases, consistent with the absence of impurity scattering. A numerical exploration of quasinormal modes close to the transition temperature suggests that pwave backgrounds are stable against perturbations analogous to turning on a p+ip gap, whereas p+ipwave configurations
Towards strange metallic holography
"... We initiate a holographic model building approach to ‘strange metallic ’ phenomenology. Our model couples a neutral Lifshitzinvariant quantum critical theory, dual to a bulk gravitational background, to a finite density of gapped probe charge carriers, dually described by Dbranes. In the physical ..."
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Cited by 117 (18 self)
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We initiate a holographic model building approach to ‘strange metallic ’ phenomenology. Our model couples a neutral Lifshitzinvariant quantum critical theory, dual to a bulk gravitational background, to a finite density of gapped probe charge carriers, dually described by Dbranes. In the physical regime of temperature much lower than the charge density and gap, we exhibit anomalous scalings of the temperature and frequency dependent conductivity. Choosing the dynamical critical exponent z appropriately we can match the nonFermi liquid scalings, such as linear resistivity, observed in strange metal regimes. As part of our investigation we outline three distinct string theory realizations of Lifshitz geometries: from F theory, from polarised branes, and from a gravitating charged Fermi gas. We also identify general features of renormalisation group flow in Lifshitz theories, such as the appearance of relevant chargecharge interactions when z ≥ 2. We outline a program to extend this model building approach to other anomalous observables of
Electron stars for holographic metallic criticality
 Phys.Rev. D83 (2011) 046003, arXiv:1008.2828 [hepth
"... We refer to the ground state of a gravitating, charged ideal fluid of fermions held at a finite chemical potential as an ‘electron star’. In a holographic setting, electron stars are candidate gravity duals for strongly interacting finite fermion density systems. We show how electron stars develop a ..."
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Cited by 56 (7 self)
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We refer to the ground state of a gravitating, charged ideal fluid of fermions held at a finite chemical potential as an ‘electron star’. In a holographic setting, electron stars are candidate gravity duals for strongly interacting finite fermion density systems. We show how electron stars develop an emergent Lifshitz scaling at low energies. This IR scaling region is a consequence of the two way interaction between emergent quantum critical bosonic modes and the finite density of fermions. By integrating from the IR region to an asymptotically AdS4 spacetime, we compute basic properties of the electron stars, including their electrical conductivity. We emphasize the challenge of connecting UV and IR physics in strongly interacting finite density systems. ar
Landscape of superconducting membranes
, 2009
"... The AdS/CFT correspondence may connect the landscape of string vacua and the ‘atomic landscape ’ of condensed matter physics. We study the stability of a landscape of IR fixed points of N = 2 large N gauge theories in 2+1 dimensions, dual to SasakiEinstein compactifications of M theory, towards a ..."
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Cited by 35 (0 self)
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The AdS/CFT correspondence may connect the landscape of string vacua and the ‘atomic landscape ’ of condensed matter physics. We study the stability of a landscape of IR fixed points of N = 2 large N gauge theories in 2+1 dimensions, dual to SasakiEinstein compactifications of M theory, towards a superconducting state. By exhibiting instabilities of charged black holes in these compactifications, we show that many of these theories have charged operators that condense when the theory is placed at a finite chemical potential. We compute a statistical distribution of critical superconducting temperatures for a subset of these theories. With a chemical potential of one milliVolt, we find critical temperatures ranging between 0.24 and 165 degrees Kelvin.
Transport Coefficients at Zero Temperature from Extremal Black Holes
, 910
"... Using the AdS/CFT correspondence we study transport coefficients of a stronglycoupled (2 + 1)dimensional boundary field theory at zero temperature and finite charge density. The boundary field theory under consideration is dual to the extremal ReissnerNordström AdS4 black hole in the bulk. We show ..."
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Cited by 28 (2 self)
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Using the AdS/CFT correspondence we study transport coefficients of a stronglycoupled (2 + 1)dimensional boundary field theory at zero temperature and finite charge density. The boundary field theory under consideration is dual to the extremal ReissnerNordström AdS4 black hole in the bulk. We show that, like the cases of scalar and spinor operators studied in [1], the correlators of charge (vector) current and energymomentum (tensor) operators exhibit scaling behavior at low frequency. The existence of such low frequency behavior is related to the fact that the nearhorizon geometry of the extremal black hole background has an AdS2 factor. We carefully calculate the shear viscosity (at zero temperature) and show that the ratio of the shear viscosity to the entropy density takes the value of 1/4π. Because of the AdS2 factor, we argue that this result stays the same for all ddimensional boundary field theories dual to the extremal ReissnerNordström AdSd+1 black holes. Also, we compute the charge conductivity at zero temperature and show that, unlike the finite temperature case, it vanishes. This result, also attributed to the near horizon AdS2 factor, is argued to hold true regardless of the dimension of the zerotemperature boundary field theory. Finally, using the extremal dyonic AdS4 black hole as the background, we extract the conductivity
Holography of Charged Dilaton Black Holes
 Black Branes,” JHEP
, 2010
"... Abstract: We study charged dilaton black branes in AdS4. Our system involves a dilaton φ coupled to a Maxwell field Fµν with dilatondependent gauge coupling, 1 g2 = f 2(φ). First, we find the solutions for extremal and near extremal branes through a combination of analytical and numerical technique ..."
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Abstract: We study charged dilaton black branes in AdS4. Our system involves a dilaton φ coupled to a Maxwell field Fµν with dilatondependent gauge coupling, 1 g2 = f 2(φ). First, we find the solutions for extremal and near extremal branes through a combination of analytical and numerical techniques. The near horizon geometries in the simplest cases, where f(φ) = eαφ, are Lifshitzlike, with a dynamical exponent z determined by α. The black hole thermodynamics varies in an interesting way with α, but in all cases the entropy is vanishing and the specific heat is positive for the near extremal solutions. We then compute conductivity in these backgrounds. We find that somewhat surprisingly, the AC conductivity vanishes like ω2 at T = 0 independent of α. We also explore the charged black brane physics of several other classes of gaugecoupling functions f(φ). In addition to possible applications in AdS/CMT, the extremal black branes are of interest from the point of view of the attractor mechanism. The near horizon geometries for these branes are universal, independent of the asymptotic values of the moduli, and describe generic classes of endpoints for attractor flows which are different from AdS2 ×R2. ar X iv