The String Dual of an ${\cal N}=(4,0)$ Two-Dimensional Gauge Theory

TL;DR

This paper constructs supergravity solutions that serve as holographic duals to two-dimensional ${ m extbf{N}}=(4,0)$ supersymmetric gauge theories, extending the AdS/CFT correspondence in a novel way.

Contribution

It introduces new supergravity solutions with vector field perturbations that correspond to ${ m extbf{N}}=(4,0)$ 2D gauge theories, providing a dual gravitational description.

Findings

Supergravity solutions with vector perturbations are found.

These solutions are dual to ${ m extbf{N}}=(4,0)$ 2D gauge theories.

The work extends the AdS/CFT correspondence to new supersymmetric cases.

Abstract

We find solutions of the six-dimensional maximal supergravity by adding a perturbation of vector fields to the solution AdS${}_3$ $\times$ S${}^3$. For certain perturbations the solution represents a dual description of an ${\cal N}=(4,0)$ field theory in two dimensions by the AdS/CFT correspondence.