Stringy Black Hole Interiors

Abstract

It is well known that non-perturbative ${\alpha }^{\prime }$ corrections to the $SL(2,\IR)/U(1)$ cigar geometry are described via a condensation of a Sine-Liouville operator that schematically can be written as $W^{+}+W^{-}$, where $W^{\pm }$ describe a string with winding number $\pm 1$. 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 $SL(2,\IR)/U(1)$ black hole is problematic. Here, we propose that in the black hole case, the non-perturbative ${\alpha }^{\prime }$ 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.

References in corpus (1)

• Holographic Duals of Long Open Strings

Cited by in corpus (19)

• String scale black holes at large $D$
• Homology Conditions for RT Surfaces in Double Holography
• Stringy ER=EPR
• Entanglement between two gravitating universes
• A Puncture in the Euclidean Black Hole
• Microstates of a $2d$ Black Hole in string theory
• Instant Folded Strings and Black Fivebranes
• Explicit microstates at the Schwarzschild horizon
• A Worldsheet Description of Instant Folded Strings
• String Theory and The Arrow of Time
• A duality in string theory on AdS${}_3$
• String correlators in AdS${}_3$ from FZZ duality
• On the quantization of folded strings in non-critical dimensions
• Semi-Classical Analysis of the String Theory Cigar
• On string theory on AdS${}_3\times M_7$ in the tensionless limit
• Is the horizon of an eternal black hole really smooth?
• A correspondence between strings in the Hagedorn phase and asymptotically de Sitter space
• If you want to cross singularity, wrap it!
• Thermal Equilibrium in String Theory in the Hagedorn Phase