Lattice formulation of two-dimensional N=(2,2) super Yang-Mills with SU(N) gauge group
Issaku Kanamori
TL;DR
This paper develops a lattice model for 2D SU(N) N=(2,2) super Yang-Mills theory, extending previous U(N) models by reducing the gauge group and maintaining supersymmetry.
Contribution
It introduces a lattice formulation for SU(N) gauge group, derived from the U(N) CKKU model, with supersymmetry preservation and artifact vacuum suppression.
Findings
Successfully reduces U(1) part while keeping supersymmetry
Provides a lattice model applicable to SU(N) gauge group
Uses admissibility condition to control artifact vacua
Abstract
We propose a lattice model for two-dimensional SU(N) N=(2,2) super Yang-Mills model. We start from the CKKU model for this system, which is valid only for U(N) gauge group. We give a reduction of U(1) part keeping a part of supersymmetry. In order to suppress artifact vacua, we use an admissibility condition.
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