A canonical approach to S-duality in Abelian gauge theory

Abstract

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.

arXiv commentlatex, 10 pages

References in corpus (4)

• Topological Reduction of 4D SYM to 2D $\sigma$--Models
• On S-Duality in Abelian Gauge Theory
• Reducing $S$- duality to $T$- duality
• Generalized Abelian S-duality and coset constructions

Cited by in corpus (7)

• Gravitational Duality in MacDowell-Mansouri Gauge Theory
• Towards a Gravitational Analog to S-duality in Non-abelian Gauge Theories
• Dual Description of Supergravity MacDowell-Mansouri Theory
• Pursuing Gravitational S-Duality
• S-duality for 2-d gravity
• S-duality and Canonical Transformations in String Theory
• New Reflections on Gravitational Duality