The Hamiltonian dynamics of bounded spacetime and black hole entropy: the canonical method
@article{Park2001TheHD, title={The Hamiltonian dynamics of bounded spacetime and black hole entropy: the canonical method}, author={Mu-In Park}, journal={Nuclear Physics}, year={2001}, volume={634}, pages={339-369} }
85 Citations
Black-hole entropy and thermodynamics from symmetries
- Physics
- 2002
Given a boundary of spacetime preserved by a Diff(S1) sub-algebra, we propose a systematic method to compute the zero mode and the central extension of the associated Virasoro algebra of charges.…
On the Near-Horizon Canonical Quantum Microstates from AdS2/CFT1 and Conformal Weyl Gravity
- Physics
- 2017
We compute the full asymptotic symmetry group of black holes belonging to the same equivalence class of solutions within the conformal Weyl gravity formalism. We do this within an A d S 2 / C F T 1…
Horizons, Constraints, and Black Hole Entropy
- Physics
- 2007
Abstract
Black hole entropy appears to be “universal”—many independent calculations, involving models with very different microscopic degrees of freedom, all yield the same density of states. I…
Duals for Extreme Black Holes
- Physics
- 2009
It is argued that the general four-dimensional extremal Kerr-Newman-AdS-dS black hole is holographically dual to a (chiral half of a) two-dimensional CFT, generalizing an argument given recently for…
Quantum Virasoro algebra with central charge c = 1 on the event horizon of a 2 D-Rindler spacetime .
- Mathematics
- 2003
Using the holographic machinery built up in a previous work, we show that the hidden SL(2,R) symmetry of a scalar quantum field propagating in a Rindler spacetime admits an enlargement in terms of a…
Quantum Virasoro algebra with central charge c = 1 on the horizon of a 2 D-Rindler spacetime .
- Mathematics
- 2003
Using the holographic machinery built up in a previous work, we show that the hidden SL(2,R) symmetry of a scalar quantum field propagating in a Rindler spacetime admits an enlargement in terms of a…
Extremal Black Hole/CFT Correspondence in (Guaged) Supergravities
- Physics
- 2009
We extend the investigation of the recently proposed Kerr/conformal field theory correspondence to large classes of rotating black hole solutions in gauged and ungauged supergravities. The…
Quantum Virasoro algebra with central charge c=1 on the horizon of a 2D-Rindler spacetime
- Mathematics
- 2003
. Using the holographic machinery built up in a previous work, we show that the hidden SL (2 , R ) symmetry of a scalar quantum field propagating in a Rindler spacetime admits an enlargement in terms…
Conserved charges of minimal massive gravity coupled to scalar field
- Physics
- 2016
Recently, the theory of topologically massive gravity non-minimally coupled to a scalar field has been proposed, which comes from the Lorentz–Chern–Simons theory (JHEP 06, 113, 2015), a torsion-free…
CFT Duals for Extreme Black Holes
- Physics
- 2009
It is argued that the general four-dimensional extremal Kerr-Newman-AdS-dS black hole is holographically dual to a (chiral half of a) two-dimensional CFT, generalizing an argument given recently for…
References
SHOWING 1-10 OF 66 REFERENCES
Entropy from conformal field theory at Killing horizons
- Physics
- 1999
On a manifold with a boundary, the constraint algebra of general relativity may acquire a central extension, which can be computed using covariant phase space techniques. When the boundary is a…
Black Hole Entropy from Conformal Field Theory in Any Dimension
- Physics
- 1999
Restricted to a black hole horizon, the ``gauge'' algebra of surface deformations in general relativity contains a Virasoro subalgebra with a calculable central charge. The fields in any quantum…
Black hole entropy and the Hamiltonian formulation of diffeomorphism invariant theories.
- PhysicsPhysical review. D, Particles and fields
- 1995
An algorithm for placing the action of a diffeomorphism invariant theory in Hamiltonian form is presented, which depends on the variational derivative of the Lagrangian with respect to the Riemann tensor.
Quantum geometry and black hole entropy
- Physics
- 1998
A ``black hole sector'' of nonperturbative canonical quantum gravity is introduced. The quantum black hole degrees of freedom are shown to be described by a Chern-Simons field theory on the horizon.…
Black hole entropy from Poisson brackets: Demystification of some calculations
- Mathematics
- 1999
Recently it has been suggested by S. Carlip that black hole entropy can be derived from a central charge of the Virasoro algebra arising as a subalgebra in the surface deformations of General…
Black hole entropy calculations based on symmetries
- Physics
- 2001
Symmetry-based approaches to the black hole entropy problem have a number of attractive features; in particular, they are very general and do not depend on the details of the quantization method.…
Action Integrals and Partition Functions in Quantum Gravity
- Physics
- 1977
One can evaluate the action for a gravitational field on a section of the complexified spacetime which avoids the singularities. In this manner we obtain finite, purely imaginary values for the…
Statistical entropy of a stationary dilaton black hole from the Cardy formula
- Mathematics
- 2000
With Carlip's boundary conditions, a standard Virasoro subalgebra with a corresponding central charge for a stationary dilaton black hole obtained in the low-energy effective field theory describing…