Chern-Simons Expectation Values and Quantum Horizons from Loop Quantum Gravity and the Duflo Map

被引：19
作者：
Sahlmann, Hanno [1 ,2 ]
Thiemann, Thomas [3 ]
机构：
[1] Asia Pacific Ctr Theoret Phys, Pohang, South Korea
[2] Pohang Univ Sci & Technol, Dept Phys, Pohang, South Korea
[3] Univ Erlangen Nurnberg, Inst Theoret Phys 3, D-91054 Erlangen, Germany
来源：
PHYSICAL REVIEW LETTERS | 2012年 / 108卷 / 11期
关键词：
BLACK-HOLE ENTROPY; SKEIN RELATIONS; FIELD THEORY;
D O I：
10.1103/PhysRevLett.108.111303
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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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页数：5
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