scholarly journals STRINGS IN AdS3 AND THE SL(2, R) WZW MODEL

2001 ◽  
Vol 16 (05) ◽  
pp. 677-682
Author(s):  
HIROSI OOGURI
Keyword(s):  
Hilbert Space ◽  
Black Hole ◽  
Partition Function ◽  
Long Strings ◽  
Three Dimensional ◽  
De Sitter Space ◽  
De Sitter ◽  
Btz Black Hole ◽  
Discrete States ◽  
The One

Strings in the three-dimensional anti-de Sitter space in the NS background is described by the SL(2, R) WZW model. We present a complete description of the Hilbert space of the model. We then compute the one-loop partition function for Euclidean BTZ black hole backgrounds or equivalently thermal AdS3 backgrounds which are quotients of Euclidean AdS3. We see long strings and discrete states in agreement with the structure of the Hilbert space.

scholarly journals ENTROPY OF THE THREE-DIMENSIONAL SCHWARZSCHILD–de SITTER BLACK HOLE

2001 ◽  
Vol 16 (36) ◽  
pp. 2353-2357 ◽  
Author(s):  
Y. S. MYUNG
Keyword(s):  
Black Hole ◽  
Central Charge ◽  
Three Dimensional ◽  
De Sitter Space ◽  
De Sitter ◽  
Correct Definition ◽  
Conical Defect ◽  
Entropy Bounds ◽  
Definition Of ◽  
Cardy Formula

We study the three-dimensional Schwarzschild–de Sitter ( SdS 3) black hole which corresponds essentially to a conical defect. We compute the mass of the SdS 3 black hole from the correct definition of the mass in asymptotically de Sitter space. Then we clarify the relation between the mass, entropy and temperature for this black hole without any ambiguity. We also establish the SdS 3/ CFT 2-correspondence for the entropy by applying the Cardy formula to a CFT with a central charge c = 3ℓ/2G3. Finally we discuss the entropy bounds for the SdS 3 black hole.

scholarly journals ON THE TIME TIMES TEMPERATURE BOUND

2010 ◽  
Vol 19 (12) ◽  
pp. 1973-1985 ◽  
Author(s):  
A. LÓPEZ-ORTEGA
Keyword(s):  
Black Hole ◽  
Relaxation Time ◽  
Lower Bound ◽  
Three Dimensional ◽  
Thermodynamic System ◽  
Space Time ◽  
De Sitter ◽  
Btz Black Hole ◽  
Gravitational Systems ◽  
Quasinormal Frequency

Recently Hod proposed a lower bound on the relaxation time of a perturbed thermodynamic system. For gravitational systems this bound transforms into a condition on the fundamental quasinormal frequency. We test the bound in some space–times whose quasinormal frequencies are calculated exactly, as the three-dimensional BTZ black hole, the D-dimensional de Sitter space–time, and the D-dimensional Nariai space–time. We find that for some of these space–times their fundamental quasinormal frequencies do not satisfy the bound proposed by Hod.

Periodicity and area spectrum of the three dimensional BTZ black hole

2012 ◽  
Vol 44 (11) ◽  
pp. 2865-2872 ◽  
Author(s):  
Hui-Ling Li ◽  
Rong Lin ◽  
Li-Ying Cheng
Keyword(s):  
Black Hole ◽  
Three Dimensional ◽  
Area Spectrum ◽  
Btz Black Hole

scholarly journals AdS3 GRAVITATIONAL INSTANTONS FROM CONFORMAL FIELD THEORY

1999 ◽  
Vol 14 (28) ◽  
pp. 1961-1981 ◽  
Author(s):  
SHUHEI MANO
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Bound States ◽  
Three Dimensional ◽  
Partition Functions ◽  
De Sitter ◽  
Btz Black Hole ◽  
Gravitational Instantons ◽  
Conformal Field ◽  
Horizon Geometry

A conformal field theory on the boundary of three-dimensional asymptotic anti-de Sitter spaces which appear as near horizon geometry of D-brane bound states is discussed. It is shown that partition functions of gravitational instantons appear as high and low temperature limits of the partition function of the conformal field theory. The result reproduces phase transition between the anti-de Sitter space and the BTZ black hole in the bulk gravity.

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