# Gravity Dual of Two-Dimensional $\mathcal{N} = (2,2)^*$ Supersymmetric Yang-Mills Theory and Integrable Models

## TL;DR

This paper constructs a gravity dual for 2D $
abla(2,2)^*$ supersymmetric Yang-Mills theory using 5D supergravity, revealing a triality among integrable models, gauge theories, and gravity in the UV regime.

## Contribution

It provides the first explicit gravity dual of the 2D $
abla(2,2)^*$ supersymmetric Yang-Mills theory and proposes a novel triality connecting integrable models, gauge theories, and gravity.

## Key findings

- Gravity dual constructed at large N and strong coupling.
- Proposed triality among integrable models, gauge theories, and gravity.
- Checks of the triality at the classical level.

## Abstract

The 2D $\mathcal{N}=(2,2)^*$ supersymmetric Yang-Mills theory can be obtained from the 2D $\mathcal{N}=(4,4)$ theory with a twisted mass deformation. In this paper we construct the gravity dual theory of the 2D $\mathcal{N}=(2,2)^*$ supersymmetric $U(N)$ Yang-Mills theory at the large $N$ and large 't Hooft coupling limit using the 5D gauged supergravity. In the UV regime, this construction also provides the gravity dual of the 2D $\mathcal{N}=(2,2)^*$ $U(N)$ topological Yang-Mills-Higgs theory. We propose a triality in the UV regime among integrable model, gauge theory and gravity, and we make some checks of this relation at classical level.