paper

Novel CFT Duals for Extreme Black Holes

arXiv:1106.4148 · doi:10.1016/j.nuclphysb.2011.11.014

Abstract

In this paper, we study the CFT duals for extreme black holes in the stretched horizon formalism. We consider the extremal RN, Kerr-Newman-AdS-dS, as well as the higher dimensional Kerr-AdS-dS black holes. In all these cases, we reproduce the well-established CFT duals. Actually we show that for stationary extreme black holes, the stretched horizon formalism always gives rise to the same dual CFT pictures as the ones suggested by ASG of corresponding near horizon geometries. Furthermore, we propose new CFT duals for 4D Kerr-Newman-AdS-dS and higher dimensional Kerr-AdS-dS black holes. We find that every dual CFT is defined with respect to a rotation in certain angular direction, along which the translation defines a U(1) Killing symmetry. In the presence of two sets of U(1) symmetry, the novel CFT duals are generated by the modular group $SL(2,\mb Z)$, and for sets of U(1) symmetry there are general CFT duals generated by T-duality group $SL(n,\mb Z)$.

31 pages; Significantly revised, one loophole in the treatment was figured out, as a result, the novel CFT pictures are generated by the group $SL(n,\mb Z)$ rather than an continuous family. Published version

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