Hagedorn strings and correspondence principle in AdS3

Feng Li Lin*, Toshihiro Matsuo, Dan Tomino

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


Motivated by the possibility of formulating a strings/black hole correspondence in AdS space, we extract the Hagedorn behavior of thermal AdS3 bosonic string from 1-loop partition function of SL(2,R) WZW model. We find that the Hagedorn temperature is monotonically increasing as the AdS radius shrinks, reaches a maximum of order of string scale set by the unitarity bound of the CFT for internal space. The resulting density of states near the Hagedorn temperature resembles the form as for strings in flat space and is dominated by the space-like long string configurations. We then argue a conjectured strings/black hole correspondence in AdS space by applying the Hagedorn thermodynamics. We find the size of the corresponding black hole is a function of the AdS radius. For large AdS radius a black hole far bigger than the string scale will form. On the contrary, when the AdS and string scales are comparable a string size black hole will form. We also examine strings on BTZ background obtained through SL(2,Z) transformation. We find a tachyonic divergence for a BTZ black hole of string scale size.

Original languageEnglish
Article number042
JournalJournal of High Energy Physics
Issue number9
Publication statusPublished - 2007 Sept 1


  • Black holes in string theory
  • Bosonic strings

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


Dive into the research topics of 'Hagedorn strings and correspondence principle in AdS3'. Together they form a unique fingerprint.

Cite this