Warped flatland

Stéphane Detournay (Physique Mathématique des Interactions Fondamentales, Université Libre de Bruxelles, and International Solvay Institutes, Campus Plaine – CP 231, Bruxelles, 1050, Belgium) ; Wout Merbis (Physique Mathématique des Interactions Fondamentales, Université Libre de Bruxelles, and International Solvay Institutes, Campus Plaine – CP 231, Bruxelles, 1050, Belgium) ; Gim Ng (School of Mathematics, Trinity College Dublin, Dublin 2, Ireland; Hamilton Mathematical Institute, Trinity College Dublin, Dublin 2, Ireland) ; Raphaela Wutte (Institute for Theoretical Physics, TU Wien, Wiedner Hauptstr. 8-10/136, Vienna, A-1040, Austria)

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 Poincaré 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 CFT Cardy formula applies in this case, reproducing the entropy of the warped flat cosmological spacetimes.

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      "value": "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\u00e9 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 CFT Cardy formula applies in this case, reproducing the entropy of the warped flat cosmological spacetimes."
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Published on:
13 November 2020
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2020 (2020)
Issue 11
Pages 1-42
DOI:
https://doi.org/10.1007/JHEP11(2020)061
arXiv:
2001.00020
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: