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arXiv · hep-lat/0301025

Supersymetry on the Noncommutative Lattice

Jun Nishimura·Soo-Jong Rey·Fumihiko Sugino
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Abstract

Built upon the proposal of Kaplan et.al. [hep-lat/0206109], we construct noncommutative lattice gauge theory with manifest supersymmetry. We show that such theory is naturally implementable via orbifold conditions generalizing those used by Kaplan {\sl et.al.} We present the prescription in detail and illustrate it for noncommutative gauge theories latticized partially in two dimensions. We point out a deformation freedom in the defining theory by a complex-parameter, reminiscent of discrete torsion in string theory. We show that, in the continuum limit, the supersymmetry is enhanced only at a particular value of the deformation parameter, determined solely by the size of the noncommutativity.

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Jun Nishimura, Soo-Jong Rey, Fumihiko Sugino. 2003-02-04. Supersymetry on the Noncommutative Lattice. https://doi.org/10.1088/1126-6708%2F2003%2F02%2F032

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