Supersymmetric black holes and $T\bar T$ deformation

Understand

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.