A canonical approach to S-duality in Abelian gauge theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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latex, 10 pages

Scientific paper

We examine the electric-magnetic duality for a U(1) gauge theory on a general
4-manifold. The partition function for such a theory transforms as a modular
form of specific weight. However, in the canonical approach, we show that
S-duality, like T-duality, is generated by a canonical transformation leading
to a modular invariant partition function.

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