2008/03/31 by Kazuhiro Nagata, Yong-Shi Wu · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #cond-mat.mes-hall #cond-mat.str-el #hep-lat #hep-th
paper · pdf · doi:10.1103/physrevd.78.065002
published as Phys.Rev.D78:065002,2008 · 22 pages, 5 figures; v2,v3 added references, v4 added two paragraphs and one figure in the summary
arxiv created 2008/08/05 · openalex publication_date 2008/09/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We propose a twisted supersymmetric (SUSY) invariant formulation of the 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 the 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.