Stringy black hole interiors
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It is well known that non-perturbative α′ corrections to the SL(2, ℝ)/U(1) cigar geometry are described via a condensation of a Sine-Liouville operator that schematically can be written as W+ + W−, where W± describe a string with winding number ±1. This condensation leads to interesting effects in the cigar geometry that take place already at the classical level in string theory. Condensation of the analytically continued Sine-Liouville operator in the Lorentzian SL(2, ℝ)/U(1) black hole is problematic. Here, we propose that in the black hole case, the non-perturbative α′ corrections are described in terms of an operator that can be viewed as the analytic continuation of the fusion of W+ and W−. We show that this operator does not suffer from the same problem as the analytically continued Sine-Liouville operator and argue that it describes folded strings that fill the entire black hole and, in a sense, replace the black hole interior. We estimate the folded strings radiation, and show that they radiate at the Hawking temperature.
Keywords2D Gravity Black Holes Black Holes in String Theory
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- I. Bars and D. Nemeschansky, String propagation in backgrounds with curved space-time, Nucl. Phys.B 348 (1991) 89 [INSPIRE].
- G. Mandal, A.M. Sengupta and S.R. Wadia, Classical solutions of two-dimensional string theory, Mod. Phys. Lett.A 6 (1991) 1685 [INSPIRE].
- E. Witten, On string theory and black holes, Phys. Rev.D 44 (1991) 314 [INSPIRE].
- R. Dijkgraaf, H.L. Verlinde and E.P. Verlinde, String propagation in a black hole geometry, Nucl. Phys.B 371 (1992) 269 [INSPIRE].
- V.A. Fateev, A.B. Zamolodchikov and Al.B. Zamolodchikov, unpublished.Google Scholar
- A. Gerasimov et al., Wess-Zumino-Witten model as a theory of free fields, Int. J. Mod. Phys.A 5 (1990) 2495 [INSPIRE].
- M. Bershadsky and D. Kutasov, Comment on gauged WZW theory, Phys. Lett.B 266 (1991) 345 [INSPIRE].
- D.J. Gross and P.F. Mende, The high-energy behavior of string scattering amplitudes, Phys. Lett.B 197 (1987) 129 [INSPIRE].
- D.J. Gross and P.F. Mende, String theory beyond the Planck scale, Nucl. Phys.B 303 (1988) 407 [INSPIRE].
- J.J. Atick and E. Witten, The Hagedorn Transition and the Number of Degrees of Freedom of String Theory, Nucl. Phys.B 310 (1988) 291 [INSPIRE].
- A.M. Polyakov, Thermal properties of gauge fields and quark liberation, Phys. Lett.B 72 (1978) 477.Google Scholar
- L. Susskind, Lattice models of quark confinement at high temperature, Phys. Rev.D 20 (1979) 2610 [INSPIRE].
- J.B. Hartle and S.W. Hawking, Wave function of the universe, Phys. Rev.D 28 (1983) 2960 [Adv. Ser. Astrophys. Cosmol.3 (1987) 174] [INSPIRE].
- S.W. Hawking, Particle creation by black holes, Commun. Math. Phys.43 (1975) 199 [Erratum ibid.46 (1976) 206] [INSPIRE].