NOTE ON MANIFEST LORENTZ AND GENERAL COORDINATE INVARIANCE IN DUALITY SYMMETRIC MODELS.

TL;DR

This paper explores a generalized duality symmetric model that maintains Lorentz invariance in flat space-time by introducing a dynamical vector field, linking gravitational interactions with symmetry properties.

Contribution

It extends Schwarz and Sen's duality model by incorporating a dynamical vector field to preserve Lorentz invariance in flat space-time.

Findings

Preserves manifest Lorentz invariance in flat space.

Links gravitational interactions to symmetry breaking.

Generalizes duality symmetric models with a dynamical vector field.

Abstract

We consider a generalization of a duality symmetric model proposed by Schwarz and Sen. It is based on enlarging the model with a dynamical vector field being a time-like component of a local Lorentz frame. This allows one to preserve the manifest Lorentz invariance of the model in flat space--time. The presence of this field is regarded as a relic of gravitational interaction which respects the general coordinate invariance in curved space--time but breaks the local Lorentz symmetry in tangent space down to its spatial subgroup.