A puncture in the Euclidean black hole

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 ampl...

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Main Authors: Ram Brustein, Amit Giveon, Nissan Itzhaki, Yoav Zigdon
Format: Article
Language:English
Published: SpringerOpen 2022-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP04(2022)021
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author Ram Brustein
Amit Giveon
Nissan Itzhaki
Yoav Zigdon
author_facet Ram Brustein
Amit Giveon
Nissan Itzhaki
Yoav Zigdon
author_sort Ram Brustein
collection DOAJ
description 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.
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spelling doaj.art-e045fbc14c1246a39efb084120ea16822023-03-22T10:11:01ZengSpringerOpenJournal of High Energy Physics1029-84792022-04-012022412010.1007/JHEP04(2022)021A puncture in the Euclidean black holeRam Brustein0Amit Giveon1Nissan Itzhaki2Yoav Zigdon3Department of Physics, Ben-Gurion UniversityRacah Institute of Physics, The Hebrew UniversitySchool of Physics and Astronomy, Tel Aviv UniversityDepartment of Physics, Ben-Gurion UniversityAbstract 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.https://doi.org/10.1007/JHEP04(2022)021Black Holes in String TheoryConformal Field Models in String Theory
spellingShingle Ram Brustein
Amit Giveon
Nissan Itzhaki
Yoav Zigdon
A puncture in the Euclidean black hole
Journal of High Energy Physics
Black Holes in String Theory
Conformal Field Models in String Theory
title A puncture in the Euclidean black hole
title_full A puncture in the Euclidean black hole
title_fullStr A puncture in the Euclidean black hole
title_full_unstemmed A puncture in the Euclidean black hole
title_short A puncture in the Euclidean black hole
title_sort puncture in the euclidean black hole
topic Black Holes in String Theory
Conformal Field Models in String Theory
url https://doi.org/10.1007/JHEP04(2022)021
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AT nissanitzhaki apunctureintheeuclideanblackhole
AT yoavzigdon apunctureintheeuclideanblackhole
AT rambrustein punctureintheeuclideanblackhole
AT amitgiveon punctureintheeuclideanblackhole
AT nissanitzhaki punctureintheeuclideanblackhole
AT yoavzigdon punctureintheeuclideanblackhole