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.
Highlights
Studied in the dual supergravity, which is the low-energy effective theory of the superstring 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
Based on our construction of the gravity dual of the 2D N = (2, 2)∗ super Yang-Mills theory with twisted mass, we propose a triality in the UV regime among gauge theories, integrable models and gravity theories
Summary
Following ref. [14], the 2D cohomological Yang-Mills theory for a compact group G on a Riemann surface Σh can be defined by the following path integral:. We will discuss in the subsection, that the 2D cohomological Yang-Mills theory can be viewed as a consistent truncation of the dimensional reduction of the 4D topologically twisted N = 2 supersymmetric Yang-Mills theory, which preserves N = (4, 4) supersymmetry in 2D. Without the mass deformation the supersymmetry transformations of the 2D N = (2, 2)∗ Yang-Mills-Higgs theory coincide with the ones from the dimensional reduction of the 4D topologically twisted N = 2 supersymmetry transformations, which preserve 8 supercharges
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