scholarly journals Holography in three-dimensional Kerr–de Sitter space with a gravitational Chern–Simons term

2008 ◽  
Vol 25 (13) ◽  
pp. 135003 ◽  
Author(s):  
Mu-In Park
Keyword(s):  
Three Dimensional ◽  
De Sitter Space ◽  
De Sitter ◽  
Chern Simons

scholarly journals Chern-Simons-Ghost theories and De Sitter space

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Dionysios Anninos ◽  
Raghu Mahajan ◽  
Ðorđe Radičević ◽  
Edgar Shaghoulian
Keyword(s):  
De Sitter Space ◽  
De Sitter ◽  
Chern Simons

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’).

A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories

1986 ◽  
Vol 180 (1-2) ◽  
pp. 89-92 ◽  
Author(s):  
A. Achúcarro ◽  
P.K. Townsend
Keyword(s):  
Three Dimensional ◽  
De Sitter ◽  
Chern Simons

HOLOGRAMS OF FLAT SPACE

2013 ◽  
Vol 22 (12) ◽  
pp. 1342003 ◽  
Author(s):  
ARJUN BAGCHI ◽  
DANIEL GRUMILLER
Keyword(s):  
Field Theory ◽  
Three Dimensional ◽  
Flat Space ◽  
De Sitter ◽  
Conformal Field ◽  
Gravitational Theories ◽  
Concrete Realization ◽  
Flat Spacetimes ◽  
Space Boundary ◽  
Chern Simons

The holographic principle has a concrete realization in the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence. If this principle is a true fact about quantum gravity then it must also hold beyond AdS/CFT. In this paper, we address specifically holographic field theory duals of gravitational theories in asymptotically flat spacetimes. We present some evidence of our recent conjecture that three-dimensional (3d) conformal Chern–Simons gravity (CSG) with flat space boundary conditions is dual to an extremal CFT.

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