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arXiv · hep-lat/0406029

Twisted Superspace on a Lattice

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

We propose a new formulation which realizes exact twisted supersymmetry for all the supercharges on a lattice by twisted superspace formalism. We show explicit examples of N=2 twisted supersymmetry invariant BF and Wess-Zumino models in two dimensions. We introduce mild lattice noncommutativity to preserve Leibniz rule on the lattice. The formulation is based on the twisted superspace formalism for N=D=2 supersymmetry which was proposed recently. From the consistency condition of the noncommutativity of superspace, we find an unexpected three-dimensional lattice structure which may reduce into two dimensional lattice where the superspace describes semilocally scattered fermions and bosons within a double size square lattice.

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Alessandro D'Adda, Issaku Kanamori, Noboru Kawamoto, Kazuhiro Nagata. 2004-07-02. Twisted Superspace on a Lattice. https://doi.org/10.1016/j.nuclphysb.2004.11.046

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