Black hole entropy from loop quantum gravity in higher dimensions

Abstract

We propose a derivation for computing black hole entropy for spherical non-rotating isolated horizons from loop quantum gravity in four and higher dimensions. The state counting problem effectively reduces to the well studied 3+1-dimensional one based on an SU(2)-Chern-Simons theory, differing only in the precise form of the area spectrum.

6 pages. v3: journal version, minor clarifications

References in corpus (4)

• Polyhedra in loop quantum gravity
• Imaginary action, spinfoam asymptotics and the 'transplanckian' regime of loop quantum gravity
• Generic isolated horizons in loop quantum gravity
• Loop quantum gravity without the Hamiltonian constraint

Cited by in corpus (27)

• Edge modes of gravity -- I: Corner potentials and charges
• Edge modes of gravity -- II: Corner metric and Lorentz charges
• Edge modes of gravity. Part III. Corner simplicity constraints
• Loop Quantum Gravity, Exact Holographic Mapping, and Holographic Entanglement Entropy
• Gravitational edge modes: From Kac-Moody charges to Poincaré networks
• Loop Quantum Gravity
• Coherent intertwiner solution of simplicity constraint in all dimensional loop quantum gravity
• Polytopes in all dimensional loop quantum gravity
• Perelomov type coherent states of SO(D + 1) in all dimensional loop quantum gravity
• A quantum reduction to spherical symmetry in loop quantum gravity
• The Wald entropy formula and loop quantum gravity
• A note on entanglement entropy and quantum geometry
• Corner symmetry and quantum geometry
• Quantum gravity at the corner
• The Entropy of Higher Dimensional Nonrotating Isolated Horizons from Loop Quantum Gravity
• The thermodynamics of isolated horizons in loop quantum gravity
• BTZ Black Hole Entropy and the Turaev-Viro model
• Quantum theory of charged isolated horizons
• Reformulation of Boundary BF Theory Approach to Statistical Explanation of the Entropy of Isolated Horizons
• Classical and Quantum Polyhedra
• Variety of $(d+1)$ dimensional Cosmological Evolutions with and without bounce in a class of LQC -- inspired Models
• Extra-dimensional generalization of minimum-length deformed QM/QFT and some of its phenomenological consequences
• A Class of LQC--inspired Models for Homogeneous, Anisotropic Cosmology in Higher Dimensional Early Universe
• Fix Immirzi parameter by quasinormal modes in four and higher spacetime dimensions
• Entanglement entropy for non-zero genus topologies
• Isotropic LQC and LQC--inspired Models with a massless scalar field as Generalised Brans--Dicke theories
• Hamiltonian Theory: generalizations to higher dimensions, supersymmetry and modified gravity