A holographic computation of the central charges of d = 4, Script N = 2 SCFTs

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Published 15 January 2008 Published under licence by IOP Publishing Ltd
, , Citation Ofer Aharony and Yuji Tachikawa JHEP01(2008)037 DOI 10.1088/1126-6708/2008/01/037

1126-6708/2008/01/037

Abstract

We use the AdS/CFT correspondence to compute the central charges of the d = 4, Script N = 2 superconformal field theories arising from N D3-branes at singularities in F-theory. These include the conformal theories with En global symmetries. We compute the central charges a and c related to the conformal anomaly, and also the central charges k associated to the global symmetry in these theories. All of these are related to the coefficients of Chern-Simons terms in the dual string theory on AdS5. Our computation is exact for all values of N, enabling several tests of the dualities recently proposed by Argyres and Seiberg for the E6 and E7 theories with N = 1.

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10.1088/1126-6708/2008/01/037