BTZ Black Hole Entropy and the Turaev-Viro Model

被引:3
作者
Geiller, Marc [1 ]
Noui, Karim [2 ,3 ]
机构
[1] Inst Gravitat & Cosmos Penn State, Dept Phys, State Coll, PA 16802 USA
[2] Univ Tours, Lab Math & Phys Theor, F-37200 Tours, France
[3] Univ Paris 07, Lab Astroparticule & Cosmol APC, F-75013 Paris, France
来源
ANNALES HENRI POINCARE | 2015年 / 16卷 / 02期
基金
美国国家科学基金会;
关键词
CONFORMAL FIELD-THEORY; STATE SUM INVARIANTS; 3-MANIFOLDS; GRAVITY;
D O I
10.1007/s00023-014-0331-7
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show the explicit agreement between the derivation of the Bekenstein-Hawking entropy of a Euclidean BTZ black hole from the point of view of spin foam models and canonical quantization. This is done by considering a graph observable (corresponding to the black hole horizon) in the Turaev-Viro state sum model, and then analytically continuing the resulting partition function to negative values of the cosmological constant.
引用
收藏
页码:609 / 640
页数:32
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