Gravity duals of 2d supersymmetric gauge theories

TL;DR

This paper constructs new supergravity solutions as gravity duals to 2d supersymmetric gauge theories, involving D5-branes wrapping four-cycles in special manifolds, and explores adding fundamental matter fields.

Contribution

It introduces novel supergravity backgrounds for 2d supersymmetric gauge theories with various supersymmetries, including configurations with flavor branes and unquenched matter.

Findings

New supergravity solutions for 2d N=(2,2) and N=(1,1) theories.

Gravity duals incorporating unquenched fundamental matter.

Explicit construction of wrapped fivebrane configurations in special holonomy manifolds.

Abstract

We find new supergravity solutions generated by D5-branes wrapping a four-cycle and preserving four and two supersymmetries. We first consider the configuration in which the fivebranes wrap a four-cycle in a Calabi-Yau threefold, which preserves four supersymmetries and is a gravity dual to the Coulomb branch of two-dimensional gauge theories with N=(2,2) supersymmetry. We also study the case of fivebranes wrapping a co-associative four-cycle in a manifold of G_2-holonomy, which provides a gravity dual of N=(1,1) supersymmetric Yang-Mills theory in two dimensions. We also discuss the addition of unquenched fundamental matter fields to these backgrounds and find the corresponding gravity solutions with flavor brane sources.