Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist

Abstract

We present a simple lattice formulation of two-dimensional $\mathcal{N}=(2,2)$ $U(k)$ supersymmetric QCD (SQCD) with $N$ matter multiplets in the fundamental representation. The construction uses compact gauge link variables and exactly preserves one linear combination of supercharges on the two-dimensional regular lattice. Artificial saddle points in the weak coupling limit and the species doubling are evaded without imposing the admissibility. A perturbative power-counting argument indicates that the target supersymmetric theory is realized in the continuum limit without any fine tuning.

23 pages, elsart.cls

References in corpus (14)

• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• Restoration of supersymmetry on the lattice: Two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory
• Observing dynamical supersymmetry breaking with euclidean lattice simulations
• Geometry of Orbifolded Supersymmetric Lattice Gauge Theories
• Classification of Supersymmetric Lattice Gauge Theories by Orbifolding
• Euclidean lattice simulation for the dynamical supersymmetry breaking
• Relationship between various supersymmetric lattice models
• First results from simulations of supersymmetric lattices
• Lattice Supersymmetry: Equivalence between the Link Approach and Orbifolding
• Lattice Formulation of Two-Dimensional N=(2,2) SQCD with Exact Supersymmetry
• Relations among Supersymmetric Lattice Gauge Theories via Orbifolding
• Some physics of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory: Lattice Monte Carlo study
• Deconstruction, 2d lattice Yang-Mills, and the dynamical lattice spacing
• Vacuum energy of two-dimensional N=(2,2) super Yang-Mills theory

Cited by in corpus (2)

• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• Large N reduction for Chern-Simons theory on S^3