Multiple Chern-Simons Fields on a Torus

Details Multiple Chern-Simons Fields on a Torus Multiple Chern-Simons Fields on a Torus

1993-02-24

arxiv.org/abs/hep-th/9302121v2

Int.J.Mod.Phys.A9:969-989,1994

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, UMN-TH-1128/93, plain TeX

Scientific paper

10.1142/S0217751X94000443

Intertwined multiple Chern-Simons gauge fields induce matrix statistics among particles. We analyse this theory on a torus, focusing on the vacuum structure and the Hilbert space. The theory can be mimicked, although not completely, by an effective theory with one Chern-Simons gauge field. The correspondence between the Wilson line integrals, vacuum degeneracy and wave functions for these two theories are discussed. Further, it is obtained in both of these cases that the two total momenta and Hamiltonian commute only in the physical Hilbert space.

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