Non-Abelian Chern-Simons models with discrete gauge groups on a lattice

B. Douçot, Lev Ioffe

Research output: Contribution to journalArticle

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We construct the local Hamiltonian description of the Chern-Simons theory with discrete non-Abelian gauge group on a lattice. We show that the theory is fully determined by the phase factors associated with gauge transformations and classify all possible non-equivalent phase factors. We also construct the gauge invariant electric-field operators that move fluxons around and create/anihilate them. We compute the resulting braiding properties of the fluxons. We apply our general results to the simplest class of non-Abelian groups, the dihedral groups D n.

Original languageEnglish (US)
Article number187
JournalNew Journal of Physics
StatePublished - Aug 26 2005

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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