## Abstract

We consider the backreaction of the winding condensate on the cigar background. We focus on the case of the SL(2, ℝ)_{k}/U(1) cigar associated with, e.g., the near-horizon limit of k NS5 black-branes. We solve the equations of motion numerically in the large k limit as a function of the amplitude, A, of the winding mode at infinity. We find that there is a critical amplitude, A_{c} = exp(−γ/2), that admits a critical solution. In string theory, the exact SL(2, ℝ)_{k}/U(1) cigar CFT fixes completely the winding amplitude, A_{s}, at infinity. We find that in the large k limit there is an exact agreement, A_{c} = A_{s}. The critical solution is a cigar with a puncture at its tip; consequently, the black-hole entropy is carried entirely by the winding condensate. We argue that, in the Lorentzian case, the information escapes the black hole through this puncture.

Original language | American English |
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Article number | 21 |

Journal | Journal of High Energy Physics |

Volume | 2022 |

Issue number | 4 |

DOIs | |

State | Published - Apr 2022 |

### Bibliographical note

Publisher Copyright:© 2022, The Author(s).

## Keywords

- Black Holes in String Theory
- Conformal Field Models in String Theory