Two-dimensional SCFTs from wrapped branes and c-extremization

TL;DR

This paper uses c-extremization to compute exact central charges of 2D N=(0,2) SCFTs from wrapped branes and constructs holographic duals, confirming the field theory results through supergravity solutions.

Contribution

It applies c-extremization to new classes of wrapped brane theories and constructs explicit AdS_3 supergravity duals, providing a detailed proof and matching results.

Findings

Exact central charges computed via anomalies and c-extremization.

Construction of AdS_3 supergravity solutions holographically dual to the theories.

Confirmation of central charge calculations through supergravity solutions.

Abstract

We apply c-extremization, whose proof we review in full detail, to study two-dimensional N=(0,2) superconformal field theories arising from the low-energy dynamics of D3-branes wrapped on Riemann surfaces and M5-branes wrapped on four-manifolds. We compute the exact central charges of these theories using anomalies and c-extremization. In all cases we also construct AdS_3 supergravity solutions of type IIB and eleven-dimensional supergravity, which are holographic duals to the field theories at large N, and exactly reproduce the central charges computed via c-extremization.