The Charged Black Hole/String Transition

Abstract

We generalize the discussion of hep-th/0509170 to charged black holes. For the two dimensional charged black hole, which is described by an exactly solvable worldsheet theory, a transition from the black hole to the string phase occurs when the Hawking temperature of the black hole reaches a limiting value, the temperature of free strings with the same mass and charge. At this point a tachyon winding around Euclidean time in the Euclidean black hole geometry, which has a non-zero condensate, becomes massless at infinity, and the horizon of the black hole is infinitely smeared. For Reissner-Nordstrom black holes in d\ge 4 dimensions, the exact worldsheet CFT is not known, but we propose that it has similar properties. We check that the leading order solution is in good agreement with this proposal, and discuss the expected form of α' corrections.

arXiv comment18 pages, harvmac

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• Random Walks in Rindler Spacetime and String Theory at the Tip of the Cigar
• String Stars in Anti de Sitter Space
• A silence black hole: Hawking radiation at the Hagedorn temperature
• Heterotic Coset Models of Microscopic Strings and Black Holes
• On Black Fundamental Strings
• Hagedorn String Thermodynamics in Curved Spacetimes and near Black Hole Horizons
• Stringy Information and Black Holes
• Stringy holography at finite density
• Analytic long-lived modes in charged critical plasma
• Noncritical String Correlators, Finite-N Matrix Models and the Vortex Condensate
• Three-Charge Black Holes and Quarter BPS States in Little String Theory
• Matrix models for D-particle dynamics and the string/black hole transition
• Black Hole - String Transition and Rolling D-brane
• On Non-Critical Superstring/Black Hole Transition
• Solvable time-like cosets and holography beyond $AdS$
• One-loop effect in the charged 2D black hole near extremality