Space-time singularities and the axion in the Poincare coset models ISO(2,1)/H

TL;DR

This paper explores how promoting a subgroup of the Poincare group to a gauge symmetry in a WZWN model describes bosonic strings in curved spacetimes with axion fields and singularities, or in flat 3D space.

Contribution

It introduces a novel gauge symmetry approach in WZWN models to describe string dynamics in curved and flat spacetimes with axion fields.

Findings

String models in curved spacetime with singularities

Inclusion of axion fields in string backgrounds

Description of string dynamics in flat 3D space

Abstract

By promoting an invariant subgroup $H$ of $ISO(2,1)$ to a gauge symmetry of a WZWN action, we obtain the description of a bosonic string moving either in a curved 4-dimensional space--time with an axion field and curvature singularities or in 3-dimensional Minkowski space--time.