Duality Symmetry in the Schwarz-Sen Model

TL;DR

This paper demonstrates the relativistic invariance of the Schwarz-Sen duality symmetric model upon quantization and establishes its equivalence to sourceless electrodynamics when duality is treated as a local symmetry.

Contribution

It provides a canonical quantization of the Schwarz-Sen model in Coulomb gauge and proves its quantum equivalence to sourceless electrodynamics.

Findings

The Schwarz-Sen model is relativistically invariant after quantization.

Duality can be implemented as a local symmetry in sourceless electrodynamics.

The Schwarz-Sen model and sourceless electrodynamics are quantum equivalent.

Abstract

The duality symmetric but not manifestly covariant action proposed by Schwarz-Sen is canonically quantized in the Coulomb gauge. The resulting theory turns out to be, nevertheless, relativistically invariant. It is shown, afterwards, that the Schwarz-Sen model naturally emerges when duality is implemented as a local symmetry of sourceless electrodynamics. This implies in the equivalence of these theories at the quantum level.