c - a from the ... superconformal index

Abstract We present a prescription for obtaining the difference of the central charges, c-a, of a four dimensional superconformal quantum field theory from its single-trace index. The formula is derived from a one-loop holographic computation, but is expected to be valid independent of holography. W...

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Bibliographic Details
Published in:The journal of high energy physics 2014-12, Vol.2014 (12), p.1
Main Authors: Ardehali, Arash Arabi, Liu, James T, Szepietowski, Phillip
Format: Article
Language:English
Subjects:
High energy physics
Online Access:Get full text
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Summary:Abstract We present a prescription for obtaining the difference of the central charges, c-a, of a four dimensional superconformal quantum field theory from its single-trace index. The formula is derived from a one-loop holographic computation, but is expected to be valid independent of holography. We demonstrate the prescription with several holographic and non-holographic examples. As an application of our formula, we show the AdS/CFT matching of c - a for arbitrary toric quiver CFTs without adjoint matter that are dual to smooth Sasaki-Einstein 5-manifolds.
ISSN:1029-8479
DOI:10.1007/JHEP12(2014)145