# Stringy black hole interiors

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## Abstract

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.

## Keywords

2D Gravity Black Holes Black Holes in String Theory## Notes

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