A Grassmann path from AdS(3) to flat space

作者：Krishnan Chethan^*; Raju Avinash; Roy Shubho

来源：The Journal of High Energy Physics, 2014, 2014(3): 036.

DOI：10.1007/JHEP03(2014)036

• AdS-CFT Correspondence
• Chern-Simons Theories
• Classical Theories of Gravity
• Conformal and W Symmetry

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.

• 出版日期2014-3-6