• Corpus ID: 119228143

Numerical Analysis of Discretized ${\cal N}=(2,2)$ SYM on Polyhedra

@article{Kamata2016NumericalAO,
  title={Numerical Analysis of Discretized \$\{\cal N\}=(2,2)\$ SYM on Polyhedra},
  author={Syo Kamata and So Matsuura and Tatsuhiro Misumi and Kazutoshi Ohta},
  journal={arXiv: High Energy Physics - Lattice},
  year={2016}
}

• S. Kamata, So Matsuura, +1 author Kazutoshi Ohta
• Published 6 December 2016
• Computer Science
• arXiv: High Energy Physics - Lattice

We perform a numerical simulation of the two-dimensional ${\cal N}=(2,2)$ supersymmetric Yang-Mills (SYM) theory on the discretized curved space. The $U(1)_{A}$ anomaly of the continuum theory is maintained also in the discretized theory as an unbalance of the number of the fermions. In the process, we propose a new phase-quenched approximation, which we call the "anomaly-phase-quenched (APQ) method", to make the partition function and observables well-defined by $U(1)_{A}$ phase cancellation. By adopting APQ method, we estimate the Ward-Takahashi identity for exact SUSY on lattice and clarify contribution of the pseudo zero-modes to the pfaffian phase.