Chern-Simons expectation values and quantum horizons from LQG and the Duflo map

Details Chern-Simons expectation values and quantum horizons from LQG and the Duflo map Chern-Simons expectation values and quantum horizons from LQG and the Duflo map

2011-09-27

arxiv.org/abs/1109.5793v2

Phys. Rev. Lett. 108, 111303 (2012)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 2 figures. v2: update of bibliography, correction of typos, virtually identical to published version

Scientific paper

10.1103/PhysRevLett.108.111303

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.

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