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Title: Constraints on a fine-grained AdS/CFT correspondence

Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:
FG02-91ER40618; SC0011702
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 94; Journal Issue: 6; Related Information: CHORUS Timestamp: 2016-09-14 18:09:21; Journal ID: ISSN 2470-0010
American Physical Society
Country of Publication:
United States

Citation Formats

Gary, Mirah, and Giddings, Steven B. Constraints on a fine-grained AdS/CFT correspondence. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.94.065017.
Gary, Mirah, & Giddings, Steven B. Constraints on a fine-grained AdS/CFT correspondence. United States. doi:10.1103/PhysRevD.94.065017.
Gary, Mirah, and Giddings, Steven B. Wed . "Constraints on a fine-grained AdS/CFT correspondence". United States. doi:10.1103/PhysRevD.94.065017.
title = {Constraints on a fine-grained AdS/CFT correspondence},
author = {Gary, Mirah and Giddings, Steven B.},
abstractNote = {},
doi = {10.1103/PhysRevD.94.065017},
journal = {Physical Review D},
number = 6,
volume = 94,
place = {United States},
year = {Wed Sep 14 00:00:00 EDT 2016},
month = {Wed Sep 14 00:00:00 EDT 2016}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.94.065017

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  • Using the counterterm subtraction technique we calculate the stress-energy tensor, action, and other physical quantities for Kerr-AdS black holes in various dimensions. For Kerr-AdS{sub 5} black holes with both rotation parameters nonzero, we demonstrate that the stress-energy tensor, in the zero mass parameter limit, is equal to the stress tensor of the weakly coupled four dimensional dual field theory. As a result, the total energy of the general Kerr-AdS{sub 5} black hole at zero mass parameter exactly matches the Casimir energy of the dual field theory. We show that at high temperature the general Kerr-AdS{sub 5} and perturbative field theorymore » stress-energy tensors are equal, up to the usual factor of 3/4. We also use the counterterm technique to calculate the stress tensors and actions for Kerr-AdS{sub 6} and Kerr-AdS{sub 7} black holes, with one rotation parameter, and we display the results. We discuss the conformal anomalies of the dual field theories to the Kerr-AdS{sub 5} and Kerr-AdS{sub 7} spacetimes. In these two field theories, we show that the rotation parameters break conformal invariance but not scale invariance, a novel result for a nontrivial field theory. For Kerr-AdS{sub 7} black holes the conformal anomalies calculated on the gravity side and the dual (0,2) tensor multiplet theory are equal up to a factor of 4/7x4N{sup 3}. We expect that the Casimir energy of the free field theory is the same as the energy of the Kerr-AdS{sub 7} black hole (with zero mass parameter), up to that factor.« less
  • We test the AdS-CFT correspondence in the case of a d=4 N=2 superconformal field theory by comparing chiral anomalies which are of order [ital N] in the [close quote]t Hooft large [ital N] limit. These include corrections of order 1/N to the conformal anomaly, thus testing the correspondence beyond the extreme large [ital N] limit. The field theory anomalies are reproduced by terms in the 7-brane effective action in the bulk. [copyright] [ital 1999] [ital The American Physical Society]
  • The order g{sup 2} radiative corrections to all two- and three-point correlators of the composite primary operators TrthinspX{sup k} are computed in N=4 supersymmetric Yang-Mills theory with the 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{r_arrow}{infinity}, fixed large g{sup 2}N supergravity calculation and further conjectures by S. Lee {ital et al.}, hep-th/9806074. A three-point correlator involving N=4 descendents of TrthinspX{sup 2} is calculated, and its order g{sup 2} contribution also vanishes, giving evidence for the absence ofmore » radiative corrections in correlators of descendent operators. {copyright} {ital 1999} {ital The American Physical Society}« less
  • The information paradox in the quantum evolution of black holes is studied within the framework of the anti{endash}de Sitter{endash}conformal field theory (AdS-CFT) correspondence. The unitarity of the CFT strongly suggests that all information about an initial state that forms a black hole is returned in the Hawking radiation. The CFT dynamics implies an information retention time of the order of the black-hole lifetime. This fact determines many qualitative properties of the nonlocal effects that must show up in a semiclassical effective theory in the bulk. We argue that no violations of causality are apparent to local observers, but the semiclassicalmore » theory in the bulk duplicates degrees of freedom inside and outside the event horizon. Nonlocal quantum effects are required to eliminate this redundancy. This leads to a breakdown of the usual classical-quantum correspondence principle in Lorentzian black-hole spacetimes. {copyright} {ital 1999} {ital The American Physical Society}« less
  • According to one of Maldacena's dualities, type IIB string theory on AdS{sub 3} x S{sup 3} x K3 is equivalent to a certain N = (4, 4) superconformal field theory. In this note we compute the elliptic genus of the boundary theory in the supergravity approximation. A finite quantity is obtained once we introduce a particular exclusion principle. In the regime where the supergravity approximation is reliable, we find exact agreement with the elliptic genus of a sigma model with target space K3{sup N}/S{sub N}.