Ginsparg-Wilson Formulation of 2D N =(2,2) SQCD with Exact Lattice Supersymmetry

Abstract

In this paper, we introduce the overlap Dirac operator, which satisfies the Ginsparg-Wilson relation, to the matter sector of two-dimensional N=(2,2) lattice supersymmetric QCD (SQCD) with preserving one of the supercharges. It realizes the exact chiral flavor symmetry on the lattice, to make possible to define the lattice action for general number of the flavors of fundamental and anti-fundamental matter multiplets and for general twisted masses. Furthermore, superpotential terms can be introduced with exact holomorphic or anti-holomorphic structure on the lattice. We also consider the lattice formulation of matter multiplets charged only under the central U(1) (the overall U(1)) of the gauge group G=U(N), and then construct lattice models for gauged linear sigma models with exactly preserving one supercharge and their chiral flavor symmetry.

46 pages, no figure; (v2) references added; (v3) typos corrected

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Cited by in corpus (17)

• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• Progress and prospects of lattice supersymmetry
• Some physics of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory: Lattice Monte Carlo study
• Spontaneous supersymmetry breaking in matrix models from the viewpoints of localization and Nicolai mapping
• Vacuum energy of two-dimensional N=(2,2) super Yang-Mills theory
• Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist
• Lattice Formulation for 2d N=(2,2), (4,4) Super Yang-Mills Theories without Admissibility Conditions
• Lattice studies of supersymmetric gauge theories
• Topologically Twisted $N=(2,2)$ Supersymmetric Yang-Mills Theory on Arbitrary Discretized Riemann Surface
• Restoration of supersymmetry in two-dimensional SYM with sixteen supercharges on the lattice
• Fermion Actions extracted from Lattice Super Yang-Mills Theories
• Anomaly and Sign problem in $\mathcal{N}=(2,2)$ SYM on Polyhedra : Numerical Analysis
• Supersymmetric Gauge Theory on the Graph
• O(a) Improvement of 2D N=(2,2) Lattice SYM Theory
• Twisted lattice supersymmetry and applications to AdS/CFT
• A one-loop test for construction of 4D N=4 SYM from 2D SYM via fuzzy sphere geometry