English

Intersections forms and the geometry of lattice Chern-Simons theory

High Energy Physics - Theory 2009-10-22 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9204048,
  title  = {Intersections forms and the geometry of lattice Chern-Simons theory},
  author = {David Eliezer and Gordon Semenoff},
  journal= {arXiv preprint arXiv:hep-th/9204048},
  year   = {2009}
}

Comments

14 pages