Operator Algebra in Chern-Simons Theory on a Torus

Details Operator Algebra in Chern-Simons Theory on a Torus Operator Algebra in Chern-Simons Theory on a Torus

1992-10-19

arxiv.org/abs/hep-th/9210103v1

Phys.Rev.Lett. 70 (1993) 1360-1363

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, TPI-Minn-92/41-T, UMN-TH-1105/92

Scientific paper

10.1103/PhysRevLett.70.1360

We consider Chern-Simons gauge theory on a torus with both nonrelativistic
and relativistic matter. It is shown that the Hamiltonian and two total momenta
commute among themselves only in the physical Hilbert space. We also discuss
relations among degenerate physical states, degenerate vacua, and the existence
of multicomponent Schrodinger wavefunctions.

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