Supersymetry on the Noncommutative Lattice

Details Supersymetry on the Noncommutative Lattice Supersymetry on the Noncommutative Lattice

2003-01-27

arxiv.org/abs/hep-lat/0301025v3

JHEP0302:032,2003

Physics

High Energy Physics

High Energy Physics - Lattice

JHEP style, 1+22 pages, no figure, v2: two references added, v3: three more references added

Scientific paper

10.1088/1126-6708/2003/02/032

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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