AdS(3) x R as a target space for the (2,1) string theory

TL;DR

This paper explores the geometry of the $AdS_3 imes \mathbb{R}$ space as a target for the $(2,1)$ heterotic string, focusing on its symmetries and dimensional reduction from higher-dimensional solitonic configurations.

Contribution

It introduces the $AdS_3 \times \mathbb{R}$ target space for the $(2,1)$ heterotic string and analyzes its null isometries and dimensional reduction mechanisms.

Findings

Identification of null isometries in the target space

Reduction to 1+1 dimensions via gauging isometries

Connection to solitonic configurations in 2+2 dimensions

Abstract

We study a target space geometry of the form $AdS_3 \times {\bf R}$ for the $(2,1)$ heterotic string. This target space arises as the near horizon limit of a solitonic configuration in 2+2 dimensions. We investigate the null isometries of this space and discuss the reduction to 1+1 dimensions of the target space geometry arising from the consistent gauging of one of these isometries.