# Topologically twisted N = (2, 2) supersymmetric Yang–Mills theory on an arbitrary discretized Riemann surface

@article{Matsuura2014TopologicallyTN,
title={Topologically twisted N = (2, 2) supersymmetric Yang–Mills theory on an arbitrary discretized Riemann surface},
author={So Matsuura and Tatsuhiro Misumi and Kazutoshi Ohta},
journal={Progress of Theoretical and Experimental Physics},
year={2014},
volume={2014}
}
• Published 29 August 2014
• Physics
• Progress of Theoretical and Experimental Physics
We define supersymmetric Yang-Mills theory on an arbitrary two-dimensional lattice (polygon decomposition) with preserving one supercharge. When a smooth Riemann surface Σg with genus g emerges as an appropriate continuum limit of the generic lattice, the discretized theory becomes topologically twisted N = (2, 2) supersymmetric Yang-Mills theory on Σg. If we adopt the usual square lattice as a special case of the discretization, our formulation is identical with Sugino’s lattice model…
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