Duality Symmetric Actions with Manifest Space-Time Symmetries

TL;DR

This paper develops duality symmetric actions for Maxwell and heterotic string effective theories, maintaining manifest space-time symmetries through auxiliary fields, advancing the understanding of duality invariance in string theory.

Contribution

It introduces a duality symmetric, space-time invariant formulation for Maxwell and heterotic string effective actions using auxiliary fields.

Findings

Achieves manifest Lorentz and coordinate invariance in duality symmetric models.

Constructs an $SL(2,\mathbb{R})\times SO(6,22)$ invariant effective action.

Provides a framework for duality symmetric string theory actions.

Abstract

We consider a space-time invariant duality symmetric action for a free Maxwell field and an $SL(2,{\bf R})\times SO(6,22)$ invariant effective action describing a low-energy bosonic sector of the heterotic string compactified on a six-dimensional torus. The manifest Lorentz and general coordinate invariant formulation of the models is achieved by coupling dual gauge fields to an auxiliary vector field from an axionic sector of the theory.