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The integrability of Virasoro charges for axisymmetric Killing horizons

  • Regular Article - Theoretical Physics
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  • Published: 01 April 2021
  • volume 2021, Article number: 11 (2021)
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The integrability of Virasoro charges for axisymmetric Killing horizons
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  • Lin-Qing Chen  ORCID: orcid.org/0000-0002-6208-23931 

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A preprint version of the article is available at arXiv.

Abstract

Through the analysis of null symplectic structure, we derive the condition for integrable Virasoro generators on the covariant phase space of axisymmetric Killing horizons. A weak boundary condition selects a special relationship between the two temperatures for the putative CFT. When the integrability is satisfied for both future and past horizons, the two central charges are equal. At the end we discuss the physical implications.

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  1. Centre for Quantum Information and Communication, Ecole polytechnique de Bruxelles, Université Libre de Bruxelles, CP 165, 1050, Brussels, Belgium

    Lin-Qing Chen

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ArXiv ePrint: 2009.11273

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Chen, LQ. The integrability of Virasoro charges for axisymmetric Killing horizons. J. High Energ. Phys. 2021, 11 (2021). https://doi.org/10.1007/JHEP04(2021)011

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  • Received: 18 November 2020

  • Accepted: 12 February 2021

  • Published: 01 April 2021

  • DOI: https://doi.org/10.1007/JHEP04(2021)011

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Keywords

  • Black Holes
  • Conformal and W Symmetry
  • Space-Time Symmetries
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