Reformulation of Boundary BF Theory Approach to Statistical Explanation of the Entropy of Isolated Horizons

Abstract

It is shown in this paper that the symplectic form for the system consisting of $D$-dimensional bulk Palatini gravity and SO$(1,1)$ BF theory on an isolated horizon as a boundary just contains the bulk term. An alternative quantization procedure for the boundary BF theory is presented. The area entropy is determined by the degree of freedom of the bulk spin network states which satisfy a suitable boundary condition. The gauge-fixing condition in the approach and the advantages of the approach are also discussed.

17 pages, no figures

References in corpus (8)

• The length operator in Loop Quantum Gravity
• Flux-area operator and black hole entropy
• Black Hole Thermodynamics and Statistical Mechanics
• Generic isolated horizons in loop quantum gravity
• Horizon entropy with loop quantum gravity methods
• Generic degeneracy and entropy in loop quantum gravity
• BF theory explanation of the entropy for rotating isolated horizons
• The Entropy of Higher Dimensional Nonrotating Isolated Horizons from Loop Quantum Gravity

Cited by in corpus (4)

• Energy distribution and thermodynamics of the quantum-corrected Schwarzschild black hole
• Microscopic states of Kerr black holes from boundary-bulk correspondence
• The Conformal Field Theory on the Horizon of BTZ Black Hole
• Hamiltonian Analysis of 3-dimensional Spacetime in Bondi-like Coordinates