Duality Symmetry in the Schwarz-Sen Model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, latex, small changes, final version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.56.6615

The continuous extension of the discrete duality symmetry of the Schwarz-Sen model is studied. The corresponding infinitesimal generator $Q$ turns out to be local, gauge invariant and metric independent. Furthermore, $Q$ commutes with all the conformal group generators. We also show that $Q$ is equivalent to the non---local duality transformation generator found in the Hamiltonian formulation of Maxwell theory. We next consider the Batalin--Fradkin-Vilkovisky formalism for the Maxwell theory and demonstrate that requiring a local duality transformation lead us to the Schwarz--Sen formulation. The partition functions are shown to be the same which implies the quantum equivalence of the two approaches.

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