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arXiv · 0803.4339

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

Kazuhiro Nagata·Yong-Shi Wu
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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.

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Kazuhiro Nagata, Yong-Shi Wu. 2008-08-05. Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice. https://doi.org/10.1103/physrevd.78.065002

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