A Canonical Approach to S-duality in Abelian Gauge Theory

We examine the electric-magnetic duality for a U(1) gauge theory on a general four manifold which generates the SL(2,Z) group. The partition functions for such a theory transforms as a modular form of specific weight. However, in the canonical approach, we show that S-duality for the abelian theory, like T-duality, is generated by a canonical transformation… CONTINUE READING