Results 1  10
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148
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.
Scattering in antide Sitter space and operator product expansion
, 1998
"... We develop a formalism to evaluate generic scalar exchange diagrams in AdSd+1 relevant for the calculation of fourpoint functions in AdS/CFT correspondence. The result may be written as an infinite power series of functions of crossratios. Logarithmic singularities appear in all orders whenever th ..."
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Cited by 54 (1 self)
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We develop a formalism to evaluate generic scalar exchange diagrams in AdSd+1 relevant for the calculation of fourpoint functions in AdS/CFT correspondence. The result may be written as an infinite power series of functions of crossratios. Logarithmic singularities appear in all orders whenever the dimensions of involved operators satisfy certain relations. We show that the AdSd+1 amplitude can be written in a form recognisable as the conformal partial wave expansion of a fourpoint function in CFTd and identify the spectrum of intermediate operators. We find that, in addition to the contribution of the scalar operator associated with the exchanged field in the AdSd+1 diagram, there are also contributions of some other operators which may possibly be identified with twoparticle bound states in AdSd+1. The CFTd interpretation also provides a useful way to “regularize” the logarithms appearing in AdSd+1 amplitude.
A nonrenormalization theorem for conformal anomalies” Nucl. Phys. B561
, 1999
"... We provide a nonrenormalization theorem for the coefficients of the conformal anomaly associated with operators with vanishing anomalous dimensions. Such operators include conserved currents and chiral operators in superconformal field theories. We illustrate the theorem by computing the conformal ..."
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Cited by 53 (13 self)
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We provide a nonrenormalization theorem for the coefficients of the conformal anomaly associated with operators with vanishing anomalous dimensions. Such operators include conserved currents and chiral operators in superconformal field theories. We illustrate the theorem by computing the conformal anomaly of 2point functions both by a computation in the conformal field theory and via the adS/CFT correspondence. Our results imply that 2 and 3point functions of chiral primary operators in N = 4 SU(N) SYM will not renormalize provided that a “generalized AdlerBardeen theorem ” holds. We further show that recent arguments connecting the nonrenormalizability of the above mentioned correlation functions to a bonus U(1)Y symmetry are incomplete due to possible U(1)Y violating contact terms. The tree level contribution to the contact terms may be set to zero by considering appropriately normalized operators. Nonrenormalizability of the above mentioned correlation functions, however, will follow only if these contact terms saturate by free fields. 1
Field theory tests for correlators in the AdS/CFT correspondence,” Phys
 Rev. D
, 1999
"... The order g 2 radiative corrections to all 2 and 3point correlators of the composite primary operators TrX k are computed in N = 4 supersymmetric YangMills theory with gauge group SU(N). Corrections are found to vanish for all N. For k = 2 this is a consequence of known superconformal nonrenormal ..."
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Cited by 47 (4 self)
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The order g 2 radiative corrections to all 2 and 3point correlators of the composite primary operators TrX k are computed in N = 4 supersymmetric YangMills theory with gauge group SU(N). Corrections are found to vanish for all N. For k = 2 this is a consequence of known superconformal nonrenormalization theorems, and for general k the result confirms an N → ∞, fixed large g 2 N supergravity calculation and further conjectures in hepth/9806074. A 3point correlator involving N = 4 descendents of Tr X 2 is calculated, and its order g 2 contribution also vanishes, giving evidence for the The Maldacena conjecture [1–3] has brought fruitful insights into string theory, supergravity (SG), and supersymmetric field theory while emphasizing a new and striking role of antideSitter space (AdS) in theoretical physics. Many correlation functions [214] have now been computed and compared in the boundary N = 4 supersymmetric YangMills theory (SYM)
Spinning deformations of the D1D5 system and a geometric resolution of closed timelike curves
 Nucl. Phys. B
"... The SO(4) isometry of the extreme ReissnerNordstrom black hole of N = 1, D = 5 supergravity can be partly broken, without breaking any supersymmetry, in two different ways. The “right ” solution is a rotating black hole (BMPV); the “left ” is interpreted as a black hole in a Gödel universe (GBH). I ..."
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Cited by 37 (3 self)
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The SO(4) isometry of the extreme ReissnerNordstrom black hole of N = 1, D = 5 supergravity can be partly broken, without breaking any supersymmetry, in two different ways. The “right ” solution is a rotating black hole (BMPV); the “left ” is interpreted as a black hole in a Gödel universe (GBH). In ten dimensions, both spacetimes are described by deformations of the D1D5ppwave system with the property that the nontrivial Closed Timelike Curves (CTC’s) of the five dimensional manifold are absent in the universal covering space of the ten dimensional manifold. In the decoupling limit, the BMPV deformation is normalizable. It corresponds to the vev of an IR relevant operator of dimension ∆ = 1. The Gödel deformation is subleading in α ′ unless we take an infinite vorticity limit; in such case it is a nonnormalizable perturbation. It corresponds to the insertion of a vector operator of dimension ∆ = 5. Thus we conclude that from the dual (1+1)CFT viewpoint the SO(4) Rsymmetry is broken ‘spontaneously ’ in the BMPV case and explicitly in the Gödel case. 1
Correlation Functions of Operators and Wilson Surfaces in the d=6, (0,2) Theory in the Large N Limit, hepth/9902153
 in Maximally Supersymmetric Conformal Theories in D=3 and D=6, hepth/9911135
, 1999
"... We compute the two and threepoint correlation functions of chiral primary operators in the large N limit of the (0, 2), d = 6 superconformal theory. We also consider the operator product expansion of Wilson surfaces in the (0, 2) theory and compute the OPE coefficients of the chiral primary operato ..."
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Cited by 28 (0 self)
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We compute the two and threepoint correlation functions of chiral primary operators in the large N limit of the (0, 2), d = 6 superconformal theory. We also consider the operator product expansion of Wilson surfaces in the (0, 2) theory and compute the OPE coefficients of the chiral primary operators at large N from the correlation functions of surfaces.
AdS(5) / CFT(4) four point functions of chiral primary operators: Cubic vertices
 Nucl. Phys. B
, 1999
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Quarkonium from the fifth dimension
 JHEP
, 2004
"... Adding fundamental matter of mass mQ to N = 4 Yang Mills theory, we study quarkonium, and “generalized quarkonium ” containing light adjoint particles. At large ’t Hooft coupling the states of spin ≤ 1 are anomalously light (Kruczenski et al., hepth/0304032). We examine their form factors, and show ..."
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Cited by 27 (0 self)
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Adding fundamental matter of mass mQ to N = 4 Yang Mills theory, we study quarkonium, and “generalized quarkonium ” containing light adjoint particles. At large ’t Hooft coupling the states of spin ≤ 1 are anomalously light (Kruczenski et al., hepth/0304032). We examine their form factors, and show these hadrons are unlike any known in QCD. By a traditional yardstick they appear infinite in size (as with strings in flat space) but we show that this is a failure of the yardstick. All of the hadrons are actually of finite size ∼ √ g 2 N/mQ, regardless of their radial excitation level and of how many valence adjoint particles they contain. Certain form factors for spin1 quarkonia vanish in the largeg 2 N limit; thus these states do not resemble ρ mesons.
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
Correlators of Vertex Operators for Circular Strings with Winding Numbers
 in AdS5 × S5, JHEP 01 (2011) 092 [arXiv:1011.3573
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