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

  • Soumangsu Chakraborty,
  • Amit Giveon,
  • Akikazu Hashimoto

摘要

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.