Field Theory on a Supersymmetric Lattice

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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31 pages, LaTeX

Scientific paper

10.1007/s002200050085

A lattice-type regularization of the supersymmetric field theories on a supersphere is constructed by approximating the ring of scalar superfields by an integer-valued sequence of finite dimensional rings of supermatrices and by using the differencial calculus of non-commutative geometry. The regulated theory involves only finite number of degrees of freedom and is manifestly supersymmetric.

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