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arXiv · 2207.01462

Supersymmetric black holes and $T\bar T$ deformation

Jan Manschot·Swapnamay Mondal
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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 (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 CFT, namely the supersymmetric completion of the $T\bar T$ deformation. We demonstrate that the black hole mass matches precisely with the $T\bar T$ deformed energy levels, upon identifying the $T\bar T$ deformation parameter with the inverse of the leading term of the black hole mass. We discuss various implications for black holes and deformed CFT's, including a Hagedorn temperature for wrapped M5-branes, and potential change of degeneracies in the deformed theory.

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Jan Manschot, Swapnamay Mondal. 2022-07-04. Supersymmetric black holes and $T\bar T$ deformation. https://doi.org/10.1103/physrevd.107.l121903

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