% Encoding: UTF-8
@COMMENT{BibTeX export based on data in FAU CRIS: https://cris.fau.de/}
@COMMENT{For any questions please write to cris-support@fau.de}
@article{faucris.240777448,
abstract = {In this work we define a new type of flux operators on the Hilbert space of loop quantum gravity. We use them to solve an equation of the form F(A) = c Sigma in loop quantum gravity. This equation, which relates the curvature of a connection A with its canonical conjugate Sigma = *E, plays an important role for spherically symmetric isolated horizons, and, more generally, for maximally symmetric geometries and for the Kodama state. If the equation holds, the new flux operators can be interpreted as a quantization of surface holonomies from higher gauge theory. Also, they represent a kind of quantum deformation of SU(2). We investigate their properties and discuss how they can be used to define states that satisfy the isolated horizon boundary condition in the quantum theory.},
author = {Sahlmann, Hanno and Zilker, Thomas},
doi = {10.1103/PhysRevD.102.026009},
faupublication = {yes},
journal = {Physical Review D - Particles, Fields, Gravitation and Cosmology},
note = {CRIS-Team WoS Importer:2020-07-24},
peerreviewed = {Yes},
title = {{Quantum} surface holonomies for loop quantum gravity and their application to black hole horizons},
volume = {102},
year = {2020}
}