1/N^2 corrections to the holographic Weyl anomaly

Abstract

We compute the O(1) contribution to holographic c-a for IIB supergravity on AdS_5 x S^5/Z_n and on AdS_5 x T^{1,1}/Z_n. In both cases, we find agreement with the dual field theory results, thus providing 1/N^2 checks of AdS/CFT with reduced supersymmetry. Since the holographic computation involves a sum over shortened multiplets in the KK tower, we provide some details on the S^5 and T^{1,1} spectra in a form that is convenient when considering their Z_n orbifolds. The computation for the even Z_n orbifolds of S^5 includes a sum over the multiplets in the twisted sector that is essential for obtaining agreement with the dual field theory.

23 pages, 2 figures. v2: minor corrections and references added

References in corpus (5)

• Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT
• Type IIB supergravity on squashed Sasaki-Einstein manifolds
• On the Superconformal Index of N=1 IR Fixed Points: A Holographic Check
• The spectrum of IIB supergravity on AdS_5 x S^5/Z_3 and a 1/N^2 test of AdS/CFT
• Computing 1/N^2 corrections in AdS/CFT

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