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

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dc.creatorNagata, Kazuhiro
dc.creatorWu, Yong-Shi
dc.date2008-03-30
dc.date2008-08-05
dc.date.accessioned2026-07-07T12:14:20Z
dc.date.available2026-07-07T12:14:20Z
dc.descriptionWe 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.
dc.description22 pages, 5 figures; v2,v3 added references, v4 added two paragraphs and one figure in the summary
dc.identifierhttps://arxiv.org/abs/0803.4339
dc.identifierhttp://arxiv.org/abs/0803.4339
dc.identifierPhys.Rev.D78:065002,2008
dc.identifierdoi:10.1103/PhysRevD.78.065002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211160
dc.subjectHigh Energy Physics - Lattice
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Theory
dc.titleTwisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
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