New variables for classical and quantum gravity in all dimensions: V. Isolated horizon boundary degrees of freedom
Journal article
Publication Details
Author(s): Bodendorfer N, Thiemann T, Thurn A
Journal: → Classical and Quantum Gravity 
Publisher: IOP PUBLISHING LTD
Publication year: 2014
Volume: 31
Journal issue: 5
ISSN: 02649381
Abstract
In this paper, we generalize the treatment of isolated horizons in loop quantum gravity, resulting in a ChernSimons theory on the boundary in the fourdimensional case, to nondistorted isolated horizons in 2(n + 1)dimensional spacetimes. The key idea is to generalize the fourdimensional isolated horizon boundary condition by using the Euler topological density E(2n) of a spatial slice of the black hole horizon as a measure of distortion. The resulting symplectic structure on the horizon coincides with the one of higherdimensional SO(2(n + 1))ChernSimons theory in terms of a Peldantype hybrid connection Gamma(0) and resembles closely the usual treatment in (3 + 1) dimensions. We comment briefly on a possible quantization of the horizon theory. Here, some subtleties arise since higherdimensional nonAbelian ChernSimons theory has local degrees of freedom. However, when replacing the natural generalization to higher dimensions of the usual boundary condition by an equally natural stronger one, it is conceivable that the problems originating from the local degrees of freedom are avoided, thus possibly resulting in a finite entropy.
FAU Authors / FAU Editors
   Chair for Theoretical Physics III (Quantum Gravity) 

 Thiemann, Thomas Prof. Dr. 
  Chair for Theoretical Physics III (Quantum Gravity) 

   Chair for Theoretical Physics III (Quantum Gravity) 

How to cite
APA:  Bodendorfer, N., Thiemann, T., & Thurn, A. (2014). New variables for classical and quantum gravity in all dimensions: V. Isolated horizon boundary degrees of freedom. Classical and Quantum Gravity, 31(5). https://dx.doi.org/10.1088/02649381/31/5/055002 
MLA:  Bodendorfer, Norbert, Thomas Thiemann, and Andreas Thurn. "New variables for classical and quantum gravity in all dimensions: V. Isolated horizon boundary degrees of freedom." Classical and Quantum Gravity 31.5 (2014). 