Aspects of Warped AdS$_3$ geometries

TL;DR

This paper explores the geometry and global properties of warped AdS$_3$ spaces, analyzing their structure as solutions in three-dimensional gravity theories and emphasizing their group manifold nature.

Contribution

It provides a systematic analysis of warped AdS$_3$ geometries, highlighting their global features and their role as solutions in various 3D gravity models.

Findings

Warped AdS$_3$ spaces have a rich group manifold structure.

They serve as special solutions in multiple 3D gravity theories.

The paper clarifies the global properties of these geometries.

Abstract

We discuss the geometry of three-dimensional warped Anti-de Sitter spaces and quotients thereof, paying special attention to their underlying group manifold nature. We perform a systematic analysis of warped Anti-de Sitter geometries, focusing on their global properties and illustrating their occurrence as special solutions of various three-dimensional gravity theories.