2014/11/30 by Arash Arabi Ardehali, James T. Liu, Phillip Szepietowski · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevlett.114.091603
published as Phys. Rev. Lett. 114, 091603 (2015) · 4+1 pages. v2: minor revisions and added acknowledgements. v3: improved presentation
arxiv created 2015/03/09 · arxiv updated 2015/03/11
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.