Chern-Simons Theory on the Torus

Abstract

We compute explicitly the Schr\"odinger picture space of states of SU(2) Chern-Simons theory on T2× R in the presence of temporal Wilson lines. Relation with Friedan-Shenker bundle of conformal field theory and the existence of a projective flat connection on this bundle is discussed. Talk given by the first author at the XIX International Colloquium on Group Theoretical Methods in Physics, Salamanca (Spain), June 29-July 4, 1992

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