The spectrum of IIB supergravity on AdS5 × S 5 / $ {{\mathbb{Z}}_3} $ and a 1/N 2 test of AdS/CFT

Ardehali, Arash Arabi; Liu, James T.; Szepietowski, Phillip

doi:10.1007/jhep06(2013)024

Cited by 22 publications

(46 citation statements)

References 39 publications

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“…The computation of such quantum effects is well understood in simple cases but the elaborate spectrum required for precision holography presents challenges. There has been significant progress on this problem in the case of AdS 5 /CFT 4 correspondence and it has largely been solved [2][3][4][5][6][7][8][9]. The purpose of this paper is to address the situation in the case of AdS 3 /CFT 2 correspondence, focusing on bulk issues.…”

Section: Contentsmentioning

confidence: 99%

Quantum corrections to central charges and supersymmetric Casimir energy in AdS3/CFT2

Ardehali

Larsen

Liu

et al. 2019

J. High Energ. Phys.

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We study the Casimir energy of bulk fields in AdS 3 and its relation to subleading terms in the central charge of the dual CFT 2 . Computing both sides of the standard CFT 2 relation E = −c/12 independently we show that this relation is not necessarily satisfied at the level of individual bulk supergravity states, but in theories with sufficient supersymmetry it is restored at the level of bulk supermultiplets. Assuming only (0, 2) supersymmetry (or more), we improve the situation by relating quantum corrections to the central charge and the supersymmetric Casimir energy which in turn is related to an index. These relations adapt recent progress on the AdS 5 /CFT 4 correspondence to AdS 3 /CFT 2 holography. We test our formula successfully in several examples, including the (0, 4) MSW theory describing classes of 4D black holes and the large (4, 4) theory that is interesting for higher spin holography. We also make predictions for the subleading central charges in several recently proposed (2, 2) dualities where the CFT 2 is not yet well-understood. arXiv:1811.12367v2 [hep-th] 24 May 20191 The superconformal index is essentially the spectral flow of the elliptic genus to the NS-NS sector; see Section 4 for the explicit definitions.

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Section: Contentsmentioning

confidence: 99%

Quantum corrections to central charges and supersymmetric Casimir energy in AdS3/CFT2

Ardehali

Larsen

Liu

et al. 2019

J. High Energ. Phys.

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“…The combination c − a plays an important role in holographic theories [77], and it would be worth exploring if there is a connection. Formulas for c − a in terms of short multiplets in the bulk have appeared in [26,27,78].…”

Section: Jhep04(2017)055mentioning

confidence: 99%

“…Similarly to the Cardy formula in 2d CFT [24], this limit controls the asymptotic behavior at large energies of the weighted density of short states. Following the observations in [25][26][27], and assuming the existence of a weakly-coupled point in the space of couplings, 1 it was argued in [28] that for β → 0 the partition function has a universal behavior (see also [34][35][36][37][38])…”

Section: Introductionmentioning

confidence: 99%

Cardy formula for 4d SUSY theories and localization

Pietro

Honda

2017

J. High Energ. Phys.

119

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Abstract:We study 4d N = 1 supersymmetric theories on a compact Euclidean manifold of the form S 1 × M 3 . Partition functions of gauge theories on this background can be computed using localization, and explicit formulas have been derived for different choices of the compact manifold M 3 . Taking the limit of shrinking S 1 , we present a general formula for the limit of the localization integrand, derived by simple effective theory considerations, generalizing the result of [1]. The limit is given in terms of an effective potential for the holonomies around the S 1 , whose minima determine the asymptotic behavior of the partition function. If the potential is minimized in the origin, where it vanishes, the partition function has a Cardy-like behavior fixed by Tr(R), while a nontrivial minimum gives a shift in the coefficient. In all the examples that we consider, the origin is a minimum if Tr(R) ≤ 0.

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“…In particular, one could proceed along the lines of [20][21][22] by introducing a z p regulator where p is the KK level, and then taking the limit z → 1. This type of regulator was recently justified for the N = 4 theory in [15] in terms of the ten-dimensional spectral ζ-function, and we have verified that it continues to provide a successful O(1) matching of both a and c for all the N = 1 cases discussed in [20][21][22].…”

Section: Large-n Theories With Holographic Dualmentioning

confidence: 99%

Central Charges from theN=1Superconformal Index

2015

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We present prescriptions for obtaining the central charges, a and c, of a four dimensional superconformal quantum field theory from the superconformal index. At infinite N , for holographic theories dual to Sasaki-Einstein 5-manifolds the prescriptions give the O(1) parts of the central charges. This allows us, among other things, to show the exact AdS/CFT matching of a and c for arbitrary toric quiver CFTs without adjoint matter that are dual to smooth Sasaki-Einstein 5-manifolds. In addition, we include evidence from non-holographic theories for the applicability of these results outside of a holographic setting and away from the large-N limit.

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The spectrum of IIB supergravity on AdS5 × S 5 / $ {{\mathbb{Z}}_3} $ and a 1/N 2 test of AdS/CFT

Cited by 22 publications

References 39 publications

Quantum corrections to central charges and supersymmetric Casimir energy in AdS3/CFT2

Quantum corrections to central charges and supersymmetric Casimir energy in AdS3/CFT2

Cardy formula for 4d SUSY theories and localization

Central Charges from theN=1Superconformal Index

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