Warped Flatland
Abstract
We study warped flat geometries in three-dimensional topologically massive gravity. They are quotients of global warped flat spacetime, whose isometries are given by the 2-dimensional centrally extended Poincar\'e algebra. The latter can be obtained as a certain scaling limit of Warped AdS3 space with a positive cosmological constant. We discuss the causal structure of the resulting spacetimes using projection diagrams. We study their charges and thermodynamics, together with asymptotic Killing vectors preserving a consistent set of boundary conditions including them. The asymptotic symmetry group is given by a Warped CFT algebra, with a vanishing current level. A generalization of the derivation of the Warped Cardy formula applies in this case, reproducing the entropy of the warped flat cosmological spacetimes.
Keywords
Cite
@article{arxiv.2001.00020,
title = {Warped Flatland},
author = {Stéphane Detournay and Wout Merbis and Gim Seng Ng and Raphaela Wutte},
journal= {arXiv preprint arXiv:2001.00020},
year = {2021}
}
Comments
44 pages, 4 figures, 1 Mathematica file, added clarifications, matches published version