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

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

2009-03-31

arxiv.org/abs/0903.5398v3

Nucl.Phys.B820:99-115,2009

Physics

High Energy Physics

High Energy Physics - Lattice

23 pages, elsart.cls

Scientific paper

10.1016/j.nuclphysb.2009.05.012

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.

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