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A Grassmann path from AdS(3) to flat space

Krishnan, Chethan and Raju, Avinash and Roy, Shubho (2014) A Grassmann path from AdS(3) to flat space. In: JOURNAL OF HIGH ENERGY PHYSICS (3).

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Official URL: http://dx.doi.org / 10.1007/JHEP03(2014)036

Abstract

We show that interpreting the inverse AdS(3) radius 1/l as a Grassmann variable results in a formal map from gravity in AdS(3) to gravity in flat space. The underlying reason for this is the fact that ISO(2, 1) is the Inonu-Wigner contraction of SO(2, 2). We show how this works for the Chern-Simons actions, demonstrate how the general (Banados) solution in AdS(3) maps to the general flat space solution, and how the Killing vectors, charges and the Virasoro algebra in the Brown-Henneaux case map to the corresponding quantities in the BMS3 case. Our results straightforwardly generalize to the higher spin case: the recently constructed flat space higher spin theories emerge automatically in this approach from their AdS counterparts. We conclude with a discussion of singularity resolution in the BMS gauge as an application.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Keywords: AdS-CFT Correspondence; Chern-Simons Theories; Classical Theories of Gravity; Conformal and W Symmetry
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 24 Feb 2015 06:31
Last Modified: 24 Feb 2015 06:31
URI: http://eprints.iisc.ac.in/id/eprint/50866

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