Matrix formulation of superspace on 1D lattice with two supercharges

Abstract

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.

25 pages

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Cited by in corpus (8)

• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• Lattice Formulation of Two-Dimensional N=(2,2) SQCD with Exact Supersymmetry
• Species Doublers as Super Multiplets in Lattice Supersymmetry: Exact Supersymmetry with Interactions for D=1 N=2
• A Method for Measuring the Witten Index Using Lattice Simulation
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• Species Doublers as Super Multiplets in Lattice Supersymmetry: Chiral Conditions of Wess-Zumino Model for D=N=2
• Two-loop Wess-Zumino model with exact supersymmetry on the lattice
• Vafa-Witten Theory on N=2 and N=4 Twisted Superspace in Four Dimensions