Phases of quantum gravity in AdS3 and linear dilaton backgrounds

By A. Giveon, D. Kutasov, E. Rabinovici, A. Sever. 2005

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Abstract We show that string theory in AdS 3 has two distinct phases depending on the radius of curvature R AdS = 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 c , and high energy states correspond to long strings that extend to the boundary of AdS 3 and become more and more weakly coupled there. A similar picture is found in asymptotically linear dilaton spacetime with dilaton gradient Q = 2 / k . The entropy grows linearly with the energy in this case (for k > 1 2 ). 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 .

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/885d9751a82dd37b61e91474442d812159b718b0

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In Astronomy and Astrophysics

  1. Dan Gorbonos
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  2. R. Brustein
  3. Merav Hadad

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