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

Abstract

Abstract Aspects of superstring theory on deformed BTZ black holes, formed near k NS5 branes by p fundamental strings, and single-trace T T ¯ $$ T\overline{T} $$ holography, are presented. The excitation energy of a singly wound long string plus its contribution to the energy of the black hole, 1/p fraction of the black-hole energy, is the same as that in T T ¯ $$ T\overline{T} $$ deformed CFT2 with c = 6k. This supports the claim that the black hole can be thought of as a state in a symmetric product of p CFT2’s of central charge 6k, where the black-hole energy is split equally among all p factors. A comment on superstring theory on deformed global AdS3 is also presented.

Keywords

• AdS-CFT Correspondence
• Black Holes in String Theory
• Gauge-Gravity Correspondence
• Long Strings