scholarly journals Cohomogeneity one three dimensional anti-de Sitter space, proper and nonproper actions

2015 ◽  
Vol 39 ◽  
pp. 93-112 ◽  
Author(s):  
P. Ahmadi
Keyword(s):  
Three Dimensional ◽  
De Sitter Space ◽  
De Sitter ◽  
Cohomogeneity One

scholarly journals The central charge in three-dimensional anti-de Sitter space

1999 ◽  
Vol 16 (6) ◽  
pp. 1733-1736 ◽  
Author(s):  
Maximo Bañados ◽  
Miguel E Ortiz
Keyword(s):  
Central Charge ◽  
Three Dimensional ◽  
De Sitter Space ◽  
De Sitter

scholarly journals The flux homomorphism on closed hyperbolic surfaces and Anti-de Sitter three-dimensional geometry

2017 ◽  
Vol 4 (1) ◽  
pp. 183-199 ◽  
Author(s):  
Andrea Seppi
Keyword(s):  
Negative Curvature ◽  
Three Dimensional ◽  
De Sitter Space ◽  
Spacelike Surface ◽  
De Sitter ◽  
Algebraic Construction ◽  
Hyperbolic Metrics ◽  
Genus 2 ◽  
Flux Homomorphism ◽  
Closed Oriented Surface

Abstract Given a smooth spacelike surface ∑ of negative curvature in Anti-de Sitter space of dimension 3, invariant by a representation p: π1 (S) → PSL2ℝ x PSL2ℝ where S is a closed oriented surface of genus ≥ 2, a canonical construction associates to ∑ a diffeomorphism φ∑ of S. It turns out that φ∑ is a symplectomorphism for the area forms of the two hyperbolic metrics h and h' on S induced by the action of p on ℍ2 x ℍ2. Using an algebraic construction related to the flux homomorphism, we give a new proof of the fact that φ∑ is the composition of a Hamiltonian symplectomorphism of (S, h) and the unique minimal Lagrangian diffeomorphism from (S, h) to (S, h’).

Cohomogeneity one anti de Sitter space AdS n+1

2016 ◽  
Vol 37 (2) ◽  
pp. 204-213 ◽  
Author(s):  
M. J. Vanaei ◽  
S. M. B. Kashani ◽  
E. Straume
Keyword(s):  
De Sitter Space ◽  
De Sitter ◽  
Cohomogeneity One

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 Twisted string theory in anti-de Sitter space

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Songyuan Li ◽  
Jan Troost
Keyword(s):  
String Theory ◽  
Boundary Energy ◽  
Three Dimensional ◽  
De Sitter Space ◽  
Momentum Tensor ◽  
Space Time ◽  
De Sitter ◽  
World Sheet ◽  
The World ◽  
Time Boundary

Abstract We construct a string theory in three-dimensional anti-de Sitter space-time that is independent of the boundary metric. It is a topologically twisted theory of quantum gravity. We study string theories with an asymptotic N = 2 superconformal symmetry and demonstrate that, when the world sheet coupling to the space-time boundary metric undergoes a U(1) R-symmetry twist, the space-time boundary energy-momentum tensor becomes topological. As a by-product of our analysis, we obtain the world sheet vertex operator that codes the space-time energy-momentum for conformally flat boundary metrics.

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