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Phases of Quantum Gravity in AdS3 and Linear Dilaton Backgrounds

A. Giveon·D. Kutasov·E. Rabinovici·A. Sever
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Abstract

We show that string theory in AdS3 has two distinct phases depending on the radius of curvature R_{AdS}=\sqrt{k}l_s. For k>1 (i.e. R_{AdS}>l_s), the SL(2,C) invariant vacuum of the spacetime conformal field theory is normalizable, the high energy density of states is given by the Cardy formula with c_{eff}=c, and generic high energy states look like large BTZ black holes. For k<1, the SL(2,C) invariant vacuum as well as BTZ black holes are non-normalizable, c_{eff} \half). The states responsible for this growth are two dimensional black holes for k>1, and highly excited perturbative strings living in the linear dilaton throat for k<1. The change of behavior at k=1 in the two cases is an example of a string/black hole transition. The entropies of black holes and strings coincide at k=1.

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A. Giveon, D. Kutasov, E. Rabinovici, A. Sever. 2005-03-15. Phases of Quantum Gravity in AdS3 and Linear Dilaton Backgrounds. https://doi.org/10.1016/j.nuclphysb.2005.04.015

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