Matrix formulation of superspace on 1D lattice with two supercharges

Details Matrix formulation of superspace on 1D lattice with two supercharges Matrix formulation of superspace on 1D lattice with two supercharges

2008-06-04

arxiv.org/abs/0806.0686v1

Int.J.Mod.Phys.A24:4737-4768,2009

Physics

High Energy Physics

High Energy Physics - Lattice

25 pages

Scientific paper

10.1142/S0217751X09046072

Following the approach developed by some of the authors in recent papers and using a matrix representation for the superfields, we formulate an exact supersymmetric theory with two supercharges on a one dimensional lattice. In the superfield formalism supersymmetry transformations are uniquely defined and do not suffer of the ambiguities recently pointed out by some authors. The action can be written in a unique way and it is invariant under all supercharges. A modified Leibniz rule applies when supercharges act on a superfield product and the corresponding Ward identities take a modified form but hold exactly at least at the tree level, while their validity in presence of radiative corrections is still an open problem and is not considered here.

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