Strings in AdS_3 and the SL(2,R) WZW Model. Part 2: Euclidean Black Hole

By J. Maldacena, Hirosi Ooguri, John Son. 2000

365 citations recorded by the source corpus.

We consider the one-loop partition function for Euclidean BTZ black hole backgrounds or equivalently thermal AdS_3 backgrounds which are quotients of H_3 (Euclidean AdS_3). The one-loop partition function is modular invariant and we can read off the spectrum which is consistent to that found in hep-th/0001053. We see long strings and discrete states in agreement with the expectations.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/184650905becd61e08365ea4f9839469876fe6e3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Hirosi Ooguri
2. V. Schomerus
3. G. Gotz
4. T. Quella
5. J. Maldacena
6. T. Takayanagi
7. T. Creutzig
8. D. Harlow

In Nuclear and High Energy Physics

1. T. Creutzig
2. David Ridout
3. Hirosi Ooguri
4. G. Gotz
5. T. Quella
6. J. Maldacena
7. V. Schomerus
8. T. Takayanagi

Citations in the corpus

• The WZNW model on PSU (1,1|2) (2006, methodology): “It is well known that models with pure NSNS background fields are easiest to deal with and indeed string theory in AdS3 × S 3 has been solved for such cases using the NSR formalism [13, 14], based on earlier work on the Euclidean model [15 – 17].”
• Eternal black holes in anti-de Sitter (2001, neutral): “7 In the case of the SL(2,R) WZW model we find that one loop corrections diverge as explained in [43].”
• Nonrelativistic closed string theory (2000, neutral): “The computation of the free energy described here is similar to the one for string in AdS3 discussed in [12].”
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions (2001, positive): “Thus the result of [2] can be regarded as a string theory proof of the full spectrum proposed in [1].”
• Liouville Field Theory — A decade after the revolution (2004, neutral): “Some references are [245], [246], [247], [248], [249], [250], [251], [252], [253], [254], [130], [255], [256], [257], [258], [259], [260].”
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The spectrum (2000, neutral): “(18)The puzzle about the apparent lack of the the modular invariance was recently resolved in [42].”
• The worldsheet dual of the symmetric product CFT (2018, neutral): “By looking in turn at the spectrum [1], the one loop worldsheet partition function [2], and at tree level three and four point functions [3], they established the consistency of the worldsheet CFT description despite it having some peculiar features.”