B Douçot and L B Ioffe 2005 New J. Phys. 7 187 doi:10.1088/1367-2630/7/1/187
Non-Abelian Chern–Simons models with discrete gauge groups on a lattice
Focus on Solid State Quantum InformationB Douçot1 and L B Ioffe2
Show affiliationsPart of Focus on Solid State Quantum Information
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 Dn.
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Issue 1 (August 2005)
Received 3 May 2005
Published 26 August 2005
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Non-Abelian Chern–Simons models with discrete gauge groups on a lattice
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