Intersections forms and the geometry of lattice Chern-Simons theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages

Scientific paper

10.1016/0370-2693(92)90168-4

We show that it is possible to formulate Abelian Chern-Simons theory on a lattice as a topological field theory. We discuss the relationship between gauge invariance of the Chern-Simons lattice action and the topological interpretation of the canonical structure. We show that these theories are exactly solvable and have the same degrees of freedom as the analogous continuum theories.

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