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arXiv · hep-lat/0409092

Twisted N=2 exact SUSY on the lattice for BF and Wess-Zumino

Alessandro D'Adda·Issaku Kanamori·Noboru Kawamoto·Kazuhiro Nagata
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Abstract

We formulate exact supersymmetric models on a lattice. We introduce noncommutativity to ensure the Leibniz rule. With the help of superspace formalism, we give supertransformations which keep the N=2 twisted SUSY algebra exactly. The action is given as a product of (anti)chiral superfields on the lattice. We present BF and Wess-Zumino models as explicit examples of our formulation. Both models have exact N=2 twisted SUSY in 2 dimensional space at a finite lattice spacing. In component fields, the action has supercharge exact form.

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Alessandro D'Adda, Issaku Kanamori, Noboru Kawamoto, Kazuhiro Nagata. 2004-09-15. Twisted N=2 exact SUSY on the lattice for BF and Wess-Zumino. https://doi.org/10.1016/j.nuclphysbps.2004.11.249

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