• DOI:10.1093/ptep/ptu153
• Corpus ID: 119311021

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}
}

• So Matsuura, T. Misumi, Kazutoshi Ohta
• 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. Although the tuning of parameters is generally required while taking the continuum limit, the number of the necessary parameters is at most two because of the gauge symmetry and the supersymmetry. In particular, we do not need any fine-tuning if we arrange the theory so as to possess an extra global U(1) symmetry (U(1)R symmetry) which rotates the scalar fields.