Topologically Massive Gauge Theory with O(2) Symmetry

Ian I. Kogan, Kai-Ming Lee

Published 1995-06-29, updated 1995-10-31Version 2

We discuss the structure of the vacua in $O(2)$ topologically massive gauge theory on a torus. Since $O(2)$ has two connected components, there are four classical vacua. The different vacua impose different boundary conditions on the gauge potentials. We also discuss the non-perturbative transitions between the vacua induced by vortices of the theory.