Three dimensional gravity from ISO(2,1) coset models

TL;DR

This paper derives various 3D gravity backgrounds, including AdS_3 and BTZ black holes, from a bosonized spinning string model based on ISO(2,1) coset constructions, exploring compactifications and T-duality.

Contribution

It introduces a novel approach to generate 3D gravity solutions from a WZWN model on the ISO(2,1) group, linking string theory and 3D gravity via coset models.

Findings

Derived AdS_3 and BTZ black hole backgrounds from string models.

Analyzed T-duality transformations of the solutions.

Connected string compactifications to 3D gravity geometries.

Abstract

Starting from a WZWN action in the ISO(2,1) Poincare' group which describes a bosonized spinning string in 2+1 Minkowski space-time, we show that a sequence of non-trivial compactifications leads to the description of a spinless string which moves in a (linear dilaton) vacuum, AdS_3 or BTZ black hole background. Other solutions are also obtained and their T-duals analyzed.