TT¯ , black holes and negative strings

Soumangsu Chakraborty*, Amit Giveon, David Kutasov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


String theory on AdS3 has a solvable single-trace irrelevant deformation that is closely related to TT¯. For one sign of the coupling, it leads to an asymptotically linear dilaton spacetime, and a corresponding Hagedorn spectrum. For the other, the resulting spacetime has a curvature singularity at a finite radial location, and an upper bound on the energies of states. Beyond the singularity, the signature of spacetime is flipped and there is an asymptotically linear dilaton boundary at infinity. We study the properties of black holes and fundamental strings in this spacetime, and find a sensible picture. The singularity does not give rise to a hard ultraviolet wall for excitations -one must include the region beyond it to understand the theory. The size of black holes diverges as their energy approaches the upper bound, as does the location of the singularity. Fundamental strings pass smoothly through the singularity, but if their energy is above the upper bound, their trajectories are singular. From the point of view of the boundary at infinity, this background can be thought of as a vacuum of Little String Theory which contains a large number of negative strings.

Original languageAmerican English
Article number57
JournalJournal of High Energy Physics
Issue number9
StatePublished - 1 Sep 2020

Bibliographical note

Publisher Copyright:
© 2020, The Author(s).


  • AdS-CFT Correspondence
  • Black Holes in String Theory
  • Gauge-gravity correspondence
  • IntegTable Field Theories


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