Supergravity Duals for N=2 Gauge Theories

TL;DR

This paper constructs supergravity solutions dual to N=2 super-Yang-Mills theories in various dimensions, providing a geometric framework to study these gauge theories via the AdS/CFT correspondence.

Contribution

It introduces explicit supergravity solutions for Dp-branes at orbifold points, including a dual for 4D N=2 SU(N) SYM, advancing the understanding of gauge/gravity duality for less supersymmetric theories.

Findings

Supergravity solutions are expressed via a single nonlinear differential equation.

The near horizon limit yields a dual description of N=2 super-Yang-Mills theories.

Analysis of the duality provides insights into the gauge theories' properties.

Abstract

We construct supergravity solutions for Dp-branes at orbifold points. The solutions are written in terms of a single function, which is the solution to a nonlinear differential equation. The near horizon limits of these solutions are dual, in the AdS/CFT sense, to super-Yang-Mills theories with 8 supercharges in various dimensions. In particular, we present a dual to N=2 SU(N) SYM theory in 3+1 dimensions, and analyse some aspects of the duality.