Covariant Duality Symmetric Actions

TL;DR

This paper presents a covariant, Lorentz and diffeomorphism invariant action for abelian gauge fields with duality symmetry, exploring its symmetries, conserved charges, and couplings to gravity and axidilaton fields.

Contribution

It introduces a new covariant formulation of duality symmetric actions that maintains Lorentz and diffeomorphism invariance, including analysis of symmetries and conserved charges.

Findings

Derived a covariant duality symmetric action for abelian gauge fields.

Identified the Noether conserved charge for duality rotations.

Discussed couplings with gravity and axidilaton fields.

Abstract

A manifestly Lorentz and diffeomorphism invariant form for the abelian gauge field action with local duality symmetry of Schwarz and Sen is given. Some of the underlying symmetries of the covariant action are further considered. The Noether conserved charge under continuous local duality rotations is found. The covariant couplings with gravity and the axidilaton field are discussed.