Two-dimensional N=(2,2) Supersymmetric Lattice Gauge Theory with Matter Fields in the Fundamental Representation

Abstract

In this paper, we construct a lattice formulation for two-dimensional N=(2,2) supersymmetric gauge theory with matter fields in the fundamental representation. We first construct it by the orbifolding procedure from Yang-Mills matrix theory with eight supercharges. We show that we can obtain the same lattice formulation by extending the geometrical discretization scheme. This suggests that the equivalence between the two schemes holds even for theories with matter fields.

20 pages, 1 figure, LaTeX2e, references added

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Cited by in corpus (8)

• Restoration of supersymmetry on the lattice: Two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory
• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• Lattice Formulation of Two-Dimensional N=(2,2) SQCD with Exact Supersymmetry
• Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist
• Lattice studies of supersymmetric gauge theories
• Two-dimensional $\mathcal{N}=(2,2)$ Lattice Gauge Theories with Matter in Higher Representations
• Anomaly and Sign problem in $\mathcal{N}=(2,2)$ SYM on Polyhedra : Numerical Analysis
• Supersymmetric Gauge Theory on the Graph