Twisted N=2 exact SUSY on the lattice for BF and Wess-Zumino

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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3 pages, 2 figures, talk presented by I. Kanamori at Lattice2004(Theory), Fermilab, 21-26 June 2004

Scientific paper

10.1016/j.nuclphysbps.2004.11.24

We formulate exact supersymmetric models on a lattice. We introduce noncommutativity to ensure the Leibniz rule. With the help of superspace formalism, we give supertransformations which keep the N=2 twisted SUSY algebra exactly. The action is given as a product of (anti)chiral superfields on the lattice. We present BF and Wess-Zumino models as explicit examples of our formulation. Both models have exact N=2 twisted SUSY in 2 dimensional space at a finite lattice spacing. In component fields, the action has supercharge exact form.

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