2007/05/31 by Feng-Li Lin, Toshihiro Matsuo, Dan Tomino
Physics and Astronomy · #Astrophysical Phenomena and Observations #BTZ black hole #Black Holes and Theoretical Physics #Black hole (networking) #Black string #Non-critical string theory #Noncommutative and Quantum Gravity Theories #Partition function (quantum field theory) #Space (punctuation) #String (physics) #String theory #Unitarity #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1088/1126-6708/2007/09/042
published as JHEP 0709:042,2007 · 28 pages, 4 figures;v2 references added & appear on JHEP
arxiv created 2007/09/10 · openalex publication_date 2007/09/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.