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

B. Douçot, Lev Ioffe

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

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
Volume7
DOIs
StatePublished - Aug 26 2005

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operators
electric fields

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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Non-Abelian Chern-Simons models with discrete gauge groups on a lattice. / Douçot, B.; Ioffe, Lev.

In: New Journal of Physics, Vol. 7, 187, 26.08.2005.

Research output: Contribution to journalArticle

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