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120
Large N field theories, string theory and gravity
, 2001
"... We review the holographic correspondence between field theories and string/M theory, focusing on the relation between compactifications of string/M theory on Antide Sitter spaces and conformal field theories. We review the background for this correspondence and discuss its motivations and the evide ..."
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Cited by 1443 (45 self)
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We review the holographic correspondence between field theories and string/M theory, focusing on the relation between compactifications of string/M theory on Antide Sitter spaces and conformal field theories. We review the background for this correspondence and discuss its motivations and the evidence for its correctness. We describe the main results that have been derived from the correspondence in the regime that the field theory is approximated by classical or semiclassical gravity. We focus on the case of the N = 4 supersymmetric gauge theory in four dimensions, but we discuss also field theories in other dimensions, conformal and nonconformal, with or without supersymmetry, and in particular the relation to QCD. We also discuss some implications for black hole physics.
Curvature singularities: The good, the bad, and the naked
 Adv. Theor. Math. Phys
, 2002
"... Necessary conditions are proposed for the admissibility of singular classical solutions with 3 + 1dimensional Poincaré invariance to fivedimensional gravity coupled to scalars. Finite temperature considerations and examples from AdS/CFT support the conjecture that the scalar potential must remain ..."
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Cited by 99 (7 self)
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Necessary conditions are proposed for the admissibility of singular classical solutions with 3 + 1dimensional Poincaré invariance to fivedimensional gravity coupled to scalars. Finite temperature considerations and examples from AdS/CFT support the conjecture that the scalar potential must remain bounded above for a solution to be physical. Having imposed some restrictions on naked singularities allows us to comment on a recent proposal for solving the cosmological constant problem. In AdS/CFT [1, 2, 3] (see [4] for a review), bulk geometries which are only asymptotically AdS5 near the timelike boundary are dual to relevant deformations of the CFT or to nonconformal vacua. Far from the timelike boundary, various singularities might arise. There must be some restrictions on the type of singularity which is allowed: for
Ricciflat metrics, harmonic forms and brane resolutions hepth/0012011. 9
"... We discuss the geometry and topology of the complete, noncompact, Ricciflat Stenzel metric, on the tangent bundle of Sn+1. We obtain explicit results for all the metrics, and show how they can be obtained from firstorder equations derivable from a superpotential. We then provide an explicit const ..."
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Cited by 95 (19 self)
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We discuss the geometry and topology of the complete, noncompact, Ricciflat Stenzel metric, on the tangent bundle of Sn+1. We obtain explicit results for all the metrics, and show how they can be obtained from firstorder equations derivable from a superpotential. We then provide an explicit construction for the harmonic selfdual (p,q)forms in the middle dimension p + q = 2(n + 1) for the Stenzel metrics in 2(n + 1) dimensions. Only the (p,p)forms are L2normalisable, while for (p,q)forms the degree of divergence grows with p − q. We also construct a set of Ricciflat metrics whose level surfaces are U(1) bundles over a product of N EinsteinKähler manifolds, and we construct examples of harmonic forms there. As an application, we construct new examples of supersymmetric nonsingular fractional M2branes with such 8dimensional transverse Ricciflat spaces. We show explicitly that the fractional D3branes on the 6dimensional Stenzel metric found by Klebanov and Strassler is supported by a pure (2,1)form, and thus it is supersymmetric, while the example of Pando ZayasTseytlin is supported by a mixture of (1,2) and (2,1) forms. We comment on the implications for the corresponding dual field theories of our resolved brane solutions. Contents 1
Thermodynamics of KerrNewmanAdS black holes and conformal field theories
"... We study the thermodynamics of fourdimensional KerrNewmanAdS black holes both in the canonical and the grandcanonical ensemble. The stability conditions are investigated, and the complete phase diagrams are obtained, which include the HawkingPage phase transition in the grandcanonical ensemble ..."
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Cited by 75 (4 self)
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We study the thermodynamics of fourdimensional KerrNewmanAdS black holes both in the canonical and the grandcanonical ensemble. The stability conditions are investigated, and the complete phase diagrams are obtained, which include the HawkingPage phase transition in the grandcanonical ensemble. In the canonical case, one has a first order transition between small and large black holes, which disappears for sufficiently large electric charge or angular momentum. This disappearance corresponds to a critical point in the phase diagram. Via the AdS/CFT conjecture, the obtained phase structure is also relevant for the corresponding conformal field theory living in a rotating Einstein universe, in the presence of a global background U(1) current. An interesting limit arises when the black holes preserve some supersymmetry. These BPS black holes correspond to highly degenerate zero temperature states in the dual CFT, which lives in an Einstein universe rotating with the
Symmetric potentials of gauged supergravities in diverse dimensions and Coulomb branch of gauge theories, Phys
 Rev. D
, 2000
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Phase structure of noncommutative field theories and spinning brane bound states”, JHEP 0003
, 2000
"... Abstract: General spinning brane bound states are constructed, along with their nearhorizon limits which are relevant as dual descriptions of noncommutative field theories. For the spinning Dbrane world volume theories with a Bfield a general analysis of the gauge coupling phase structure is giv ..."
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Cited by 35 (4 self)
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Abstract: General spinning brane bound states are constructed, along with their nearhorizon limits which are relevant as dual descriptions of noncommutative field theories. For the spinning Dbrane world volume theories with a Bfield a general analysis of the gauge coupling phase structure is given, exhibiting various novel features, already at the level of zero angular momenta. We show that the thermodynamics is equivalent to the commutative case at large N and we discuss the possibility and consequences of finite N. As an application of the general analysis, the range of validity of the thermodynamics for the NCSYM is discussed. In view of the recently conjectured existence of a 7dimensional NCSYM, the thermodynamics of the spinning D6brane theory, for which a stable region can be found, is presented in detail. Corresponding results for the spinning M5M2 brane bound state, including the nearhorizon limit and thermodynamics, are given as well.
Pope “Consistent warpedspace KaluzaKlein reductions, halfmaximal gauged supergravities and CIP n constructions”, Nucl. Phys. B597
, 2001
"... We obtain new consistent KaluzaKlein embeddings of the gauged supergravities with half of maximal supersymmetry in dimensions D = 7, 6, 5 and 4. They take the form of warped embeddings in type IIA, type IIB, Mtheory and type IIB respectively, and are obtained by performing KaluzaKlein circle redu ..."
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Cited by 34 (5 self)
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We obtain new consistent KaluzaKlein embeddings of the gauged supergravities with half of maximal supersymmetry in dimensions D = 7, 6, 5 and 4. They take the form of warped embeddings in type IIA, type IIB, Mtheory and type IIB respectively, and are obtained by performing KaluzaKlein circle reductions or Tduality transformations on Hopf fibres in S3 submanifolds of the previouslyknown sphere reductions. The new internal spaces are in some sense “mirror manifolds ” that are dual to the original internal spheres. The vacuum AdS solutions of the gauged supergravities then give rise to warped products with these internal spaces. As well as these embeddings, which have singularities, we also construct new nonsingular warped KaluzaKlein embeddings for the D = 5 and D = 4 gauged supergravities. The geometry of the internal spaces in these cases leads us to study FubiniStudy metrics on complex projective spaces in some detail.
Symmetrybreaking vacua and baryon condensates in ads/cft
, 2008
"... We study the gravity duals of symmetrybreaking deformations of superconformal field theories, AdS/CFT dual to Type IIB string theory on AdS5 × Y where Y is a SasakiEinstein manifold. In these vacua both conformal invariance and baryonic symmetries are spontaneously broken. We present a detailed di ..."
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Cited by 26 (7 self)
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We study the gravity duals of symmetrybreaking deformations of superconformal field theories, AdS/CFT dual to Type IIB string theory on AdS5 × Y where Y is a SasakiEinstein manifold. In these vacua both conformal invariance and baryonic symmetries are spontaneously broken. We present a detailed discussion of the supergravity moduli space, which involves flat form fields on asymptotically conical CalabiYau manifolds, and match this to the gauge theory vacuum moduli space. We discuss certain linearised fluctuations of the moduli, identifying the Goldstone bosons associated with spontaneous breaking of nonanomalous baryonic symmetries. The remaining moduli fields are related to spontaneous breaking of anomalous baryonic symmetries. We also elaborate on the proposal that computing condensates of baryon operators is equivalent to computing the partition function of a noncompact Euclidean D3brane in the background supergravity
Holographic Coulomb branch vevs
 JHEP
, 2006
"... We compute holographically the vevs of all chiral primary operators for supergravity solutions corresponding to the Coulomb branch of N = 4 SYM and find exact agreement with the corresponding field theory computation. Using the dictionary between 10d geometries and field theory developed to extract ..."
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Cited by 20 (8 self)
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We compute holographically the vevs of all chiral primary operators for supergravity solutions corresponding to the Coulomb branch of N = 4 SYM and find exact agreement with the corresponding field theory computation. Using the dictionary between 10d geometries and field theory developed to extract these vevs, we propose a gravity dual of a half Since its formulation [1][3] there have been numerous tests of the AdS/CFT duality, see [4, 5] for reviews. Soon afterward the duality was extended to nonconformal field theories obtained by deformations or vevs of the original CFT. In such cases the duality involves an asymptotically AdS spacetime. However, quantitative tests of the correspondence in this
Lü and C.N. Pope Domain Walls with Localised Gravity and Domain Wall/QFT correspondence hepth/0007209
"... We review general domainwall solutions supported by a deltafunction source, together with a single pure exponential scalar potential in supergravity. These scalar potentials arise from a sphere reduction in Mtheory or string theory. There are several examples of flat (BPS) domain walls that lead ..."
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Cited by 19 (3 self)
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We review general domainwall solutions supported by a deltafunction source, together with a single pure exponential scalar potential in supergravity. These scalar potentials arise from a sphere reduction in Mtheory or string theory. There are several examples of flat (BPS) domain walls that lead to a localisation of gravity on the brane, and for these we obtain the form of the corrections to Newtonian gravity. These solutions are lifted back on certain internal spheres to D = 11 and D = 10 as Mbranes and Dbranes. We find that the domain walls that can trap gravity yield Mbranes or Dpbranes that have a natural decoupling limit, i.e. p ≤ 5, with the deltafunction source providing an ultraviolet cutoff in a dual quantum field theory. This suggests that the localisation of gravity can generally be realised within a Domainwall/QFT correspondence, with the deltafunction domainwall source providing a cutoff from the spacetime boundary for these domainwall solutions. We also discuss the form of the oneloop corrections to the graviton propagator from the boundary QFT that would reproduce the corrections to the Newtonian gravity on the domain wall.