Chern-Simons expectation values and quantum horizons from LQG and the Duflo map
General Relativity and Quantum Cosmology
2012-03-28 v2 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We report on a new approach to the calculation of Chern-Simons theory expectation values, using the mathematical underpinnings of loop quantum gravity, as well as the Duflo map, a quantization map for functions on Lie algebras. These new developments can be used in the quantum theory for certain types of black hole horizons, and they may offer new insights for loop quantum gravity, Chern-Simons theory and the theory of quantum groups.
Keywords
Cite
@article{arxiv.1109.5793,
title = {Chern-Simons expectation values and quantum horizons from LQG and the Duflo map},
author = {Hanno Sahlmann and Thomas Thiemann},
journal= {arXiv preprint arXiv:1109.5793},
year = {2012}
}
Comments
5 pages, 2 figures. v2: update of bibliography, correction of typos, virtually identical to published version