Manifest spin 2 duality with electric and magnetic sources

TL;DR

This paper extends the duality-invariant formulation of spin 2 fields to include electric and magnetic sources, resolving singularities and defining conserved charges.

Contribution

It introduces a duality-invariant approach for spin 2 fields interacting with sources, including potentials for longitudinal and trace parts, and constructs conserved surface charges.

Findings

Resolved string singularity into Coulomb-like solution

Constructed surface charges for energy-momentum and angular momentum

Extended duality invariance to interacting spin 2 fields

Abstract

We extend the formulation of spin 2 fields on Minkowski space which makes the action manifestly invariant under duality rotations to the case of interactions with external electric and magnetic sources by adding suitable potentials for the longitudinal and trace parts. In this framework, the string singularity of the linearized Taub-NUT solution is resolved into a Coulomb-like solution. Suitable surface charges to measure energy-momentum and angular momentum of both electric and magnetic type are constructed.