Ginsparg-Wilson formulation of 2D \({\mathcal N}=(2,2)\) SQCD with exact lattice supersymmetry. (English) Zbl 1194.81265
Summary: In this paper, we introduce the overlap Dirac operator, which satisfies the Ginsparg-Wilson relation, to the matter sector of two-dimensional \({\mathcal N}=(2,2)\) 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.
MSC:
| 81V05 | Strong interaction, including quantum chromodynamics |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81T25 | Quantum field theory on lattices |
| 81R25 | Spinor and twistor methods applied to problems in quantum theory |
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