On string theory on deformed BTZ and $$ \textrm{T}\overline{\textrm{T}} $$

Abstract

Abstract Aspects of superstring theory on deformed BTZ black holes, formed nearkNS5 branes bypfundamental strings, and single-trace$$ T\overline{T} $$ T T ¯ holography, are presented. The excitation energy of a singly wound long string plus its contribution to the energy of the black hole, 1/pfraction of the black-hole energy, is the same as that in$$ T\overline{T} $$ T T ¯ deformed CFT 2 withc= 6k. This supports the claim that the black hole can be thought of as a state in a symmetric product ofpCFT 2 ’s of central charge 6k, where the black-hole energy is split equally among allpfactors. A comment on superstring theory on deformed global AdS 3 is also presented.