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

TL;DR

This paper employs the AdS/CFT correspondence to precisely compute the central charges of four-dimensional N=2 superconformal field theories derived from D3-branes at F-theory singularities, including those with exceptional E_n symmetries.

Contribution

It provides exact calculations of central charges for a broad class of N=2 SCFTs, including E_n theories, and tests recent duality proposals for these models.

Findings

Computed central charges a and c for N=2 SCFTs.

Determined global symmetry central charges k.

Validated duality conjectures for E_6 and E_7 theories.

Abstract

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.