Abstract
We show that interpreting the inverse AdS3 radius 1/l as a Grassmann variable results in a formal map from gravity in AdS3 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 AdS3 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.
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Krishnan, C., Raju, A. & Roy, S. A Grassmann path from AdS3 to flat space. J. High Energ. Phys. 2014, 36 (2014). https://doi.org/10.1007/JHEP03(2014)036
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DOI: https://doi.org/10.1007/JHEP03(2014)036