Gravity dual of two-dimensional $ \mathcal{N} $ = (2, 2)$^{∗}$ supersymmetric Yang-Mills theory and integrable models

International audienceThe 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