Field Theory on a Supersymmetric Lattice
H. Grosse, C. Klimcik, P. Presnajder
TL;DR
This paper develops a supersymmetric lattice regularization of field theories on a supersphere using non-commutative geometry, resulting in a finite, manifestly supersymmetric model.
Contribution
It introduces a novel lattice regularization method for supersymmetric theories on a supersphere employing finite-dimensional supermatrix rings.
Findings
Finite degrees of freedom in the regularized theory
Manifest supersymmetry preserved in the discretization
Approximation of scalar superfields via supermatrix rings
Abstract
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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