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arXiv · 1312.2941

A Grassmann Path From AdS_3 to Flat Space

Chethan Krishnan·Avinash Raju·Shubho Roy
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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 BMS_3 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.

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Chethan Krishnan, Avinash Raju, Shubho Roy. 2014-02-13. A Grassmann Path From AdS_3 to Flat Space. https://doi.org/10.1007/jhep03(2014)036

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