scholarly journals Statistical entropy of three-dimensional Kerr–de Sitter space

1998 ◽  
Vol 440 (3-4) ◽  
pp. 275-282 ◽  
Author(s):  
Mu-In Park
Keyword(s):  
Three Dimensional ◽  
De Sitter Space ◽  
De Sitter ◽  
Statistical Entropy

scholarly journals Statistical entropy of three-dimensional q-deformed Kerr–de Sitter space

2007 ◽  
Vol 646 (5-6) ◽  
pp. 275-278
Author(s):  
Michael C. Abbott ◽  
David A. Lowe
Keyword(s):  
Three Dimensional ◽  
De Sitter Space ◽  
De Sitter ◽  
Statistical Entropy

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’).

DIVERGENCE STRUCTURE FOR THE STATISTICAL ENTROPY OF SPIN FIELDS IN REISSNER–NORDSTRÖM–de SITTER SPACE–TIME

2002 ◽  
Vol 17 (14) ◽  
pp. 887-897 ◽  
Author(s):  
ZHONG-HENG LI
Keyword(s):  
Scalar Fields ◽  
De Sitter Space ◽  
Space Time ◽  
Brick Wall ◽  
De Sitter ◽  
Statistical Entropy ◽  
Wall Model ◽  
Thin Region ◽  
Spin Fields ◽  
Divergence Structure

We consider the divergences at all levels for the statistical entropy of gravitational, electromagnetic, neutrino and scalar fields on extremal and nonextremal Reissner–Nordström–de Sitter space–time background in terms of the brick-wall model. We find that entropy of spin fields within a region near coinciding horizons has higher divergence than usual. The earlier result that the entropy of spin fields is proportional to scalar one or the horizon area holds only for the thin region near an isolated horizon, since the spin-dependent divergences exist in all other cases.

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.

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