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arXiv · 1109.5793

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

Hanno Sahlmann·Thomas Thiemann
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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.

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Hanno Sahlmann, Thomas Thiemann. 2012-03-27. Chern-Simons expectation values and quantum horizons from LQG and the Duflo map. https://doi.org/10.1103/physrevlett.108.111303

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