Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
arXiv:0803.4339 · doi:10.1103/PhysRevD.78.065002
Abstract
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.
arXiv comment22 pages, 5 figures; v2,v3 added references, v4 added two paragraphs and one figure in the summary
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