The gravity duals of N=2 superconformal field theories

TL;DR

This paper explores the gauge/gravity duality for four-dimensional N=2 superconformal theories, providing a geometric construction of duals and demonstrating precise matches between field theory and M-theory results.

Contribution

It introduces a method to construct gravity duals for a broad class of N=2 superconformal field theories derived from M5 branes on Riemann surfaces.

Findings

Explicit geometric prescriptions for duals of N=2 theories

Matching of physical quantities between field theory and M-theory

Analysis of special cases illustrating the duality

Abstract

We study the gauge/gravity duality for theories with four dimensional ${\cal N}=2$ supersymmetries. We consider the large class of generalized quiver field theories constructed recently by one of us (D.G.). These field theories can also be viewed as the IR limit of M5 branes wrapping a Riemann surface with punctures. We give a prescription for constructing the corresponding geometries and we discuss a few special cases in detail. There is a precise match for various quantities between the field theory and the M-theory description.