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

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• Lattice formulation of two-dimensional N=(2,2) super Yang-Mills with SU(N) gauge group
• Supersymmetry restoration in lattice formulations of 2D $\mathcal{N}=(2,2)$ WZ model based on the Nicolai map
• SUSY WT identity in a lattice formulation of 2D $\mathcal{N}=(2,2)$ SYM
• 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