Duality Symmetry in the Schwarz-Sen Model

TL;DR

This paper explores the continuous duality symmetry in the Schwarz-Sen model, demonstrating its local, gauge-invariant generator and its equivalence to Maxwell theory's duality transformation, establishing quantum equivalence.

Contribution

It introduces a local, gauge-invariant generator for continuous duality symmetry in the Schwarz-Sen model and links it to Maxwell theory's duality transformation.

Findings

The generator $Q$ is local, gauge invariant, and metric independent.

$Q$ commutes with all conformal group generators.

Partition functions of Schwarz-Sen and Maxwell theories are equivalent.

Abstract

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.