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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages; v4: one reference added

Scientific paper

10.1088/1126-6708/2008/01/037

We use the AdS/CFT correspondence to compute the central charges of the d=4, N=2 superconformal field theories arising from N D3-branes at singularities in F-theory. These include the conformal theories with E_n 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 AdS_5. Our computation is exact for all values of N, enabling several tests of the dualities recently proposed by Argyres and Seiberg for the E_6 and E_7 theories with N=1.

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