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).

PDF jou_high_ene_phy_3_2014.pdf - Published Version Restricted to Registered users only Download (371kB) | Request a copy

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
Publication:	JOURNAL OF HIGH ENERGY PHYSICS
Publisher:	SPRINGER
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
Date Deposited:	24 Feb 2015 06:31
Last Modified:	24 Feb 2015 06:31
URI:	http://eprints.iisc.ac.in/id/eprint/50866

Actions (login required)

View Item