1/N² corrections to the holographic Weyl anomaly

2013/10/31 by Arash Arabi Ardehali, James T. Liu, Phillip Szepietowski · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep01(2014)002

published as JHEP 2014 (1), 002 · 23 pages, 2 figures. v2: minor corrections and references added

arxiv created 2013/11/12 · arxiv updated 2015/06/12

Abstract

We compute the O(1) contribution to holographic c-a for IIB supergravity on AdS₅ x S⁵/Z_n and on AdS₅ x T^1,1/Z_n. In both cases, we find agreement with the dual field theory results, thus providing 1/N² 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 S⁵ 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 S⁵ includes a sum over the multiplets in the twisted sector that is essential for obtaining agreement with the dual field theory.

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