1/N^2 corrections to the holographic Weyl anomaly
High Energy Physics - Theory
2015-06-12 v2
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.
Keywords
Cite
@article{arxiv.1310.2611,
title = {1/N^2 corrections to the holographic Weyl anomaly},
author = {Arash Arabi Ardehali and James T. Liu and Phillip Szepietowski},
journal= {arXiv preprint arXiv:1310.2611},
year = {2015}
}
Comments
23 pages, 2 figures. v2: minor corrections and references added