Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice

Details Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice

2008-03-30

arxiv.org/abs/0803.4339v4

Phys.Rev.D78:065002,2008

Physics

High Energy Physics

High Energy Physics - Lattice

22 pages, 5 figures; v2,v3 added references, v4 added two paragraphs and one figure in the summary

Scientific paper

10.1103/PhysRevD.78.065002

We propose a twisted SUSY invariant formulation of Chern-Simons theory on a Euclidean three dimensional lattice. The SUSY algebra to be realized on the lattice is the N=4 D=3 twisted algebra that was recently proposed by D'Adda et al.. In order to keep the manifest anti-hermiticity of the action, we introduce oppositely oriented supercharges. Accordingly, the naive continuum limit of the action formally corresponds to the Landau gauge fixed version of Chern-Simons theory with complex gauge group which was originally proposed by Witten. We also show that the resulting action consists of parity even and odd parts with different coefficients.

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