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Lattice supersymmetry and non commutative geometry

Presenter: Sergio Arianos — INFN-Torino

S. Arianos, A. D'Adda, N. Kawamoto, J. Saito

An exact supersymmetric theory with two supercharges on a one dimensional lattice is realized using a matrix-based model. The matrix structure is derived from the shift and clock matrices used in two dimensional non commutative field theories. This matrix structure reproduces on a one dimensional lattice the expected modified Leibitz rule.