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  • Letter
  • Open Access

Supersymmetric black holes and TT¯ deformation

Jan Manschot1,2 and Swapnamay Mondal1,2,3

  • 1School of Mathematics, Trinity College, D02 PN40 Dublin 2, Ireland
  • 2Hamilton Mathematical Institute, Trinity College, D02 PN40 Dublin 2, Ireland
  • 3School of Theoretical Physics, Dublin Institute for Advanced Studies, D04 C932 Dublin 4, Ireland

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Phys. Rev. D 107, L121903 – Published 21 June, 2023

DOI: https://doi.org/10.1103/PhysRevD.107.L121903

Abstract

The entropy of supersymmetric black holes in string theory compactifications can be related to that of a D- or M-brane system, which in many cases can be further reduced to a two-dimensional conformal field theory (2D CFT). For black holes in M theory, this relation involves a decoupling limit where the black hole mass diverges. We suggest that moving away from this limit corresponds to a specific irrelevant perturbation of the 2D CFT, namely the supersymmetric completion of the TT¯ deformation. We demonstrate that the black hole mass matches precisely with the TT¯ deformed energy levels, upon identifying the TT¯ deformation parameter with the inverse of the leading term of the black hole mass. We discuss various implications of this novel realization of the TT¯ deformation, including a Hagedorn temperature for wrapped M5-branes, and potential change of degeneracies in the deformed theory.

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Phys. Rev. D 107, L121903– Published 21 June, 2023
  • Received 4 August 2022
  • Accepted 2 June 2023
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