论文标题

拓扑M理论的BTZ熵

BTZ entropy from topological M-theory

论文作者

Chagoya, Javier, Reyes-Ahumada, Graciela, Sabido, M.

论文摘要

通过确定拓扑M理论与Chern-Simons对根据SL(2,R)X SL(2,R)X SL(2,R)或SL(2,R)或SL(2,C)X SL(2,C)构建的量规场的关系,取决于时空曲率的迹象,我们表明,您表明,可以从topolition corcountial of Tobitolitions恢复到3二维的GREATITY的标准和外来动作。通过此结果,我们提供了Dijkgraaf等人对猜想的具体实现。指出拓扑M理论的分区函数等于相关理论中黑洞的分区函数。我们为3维重力的标准和外来BTZ黑洞做到这一点。

By determining the relation between topological M-theory and the Chern-Simons actions for a gauge field constructed from the Lie algebra of either SL(2,R)x SL(2,R) or SL(2,C)x SL(2,C), depending on the sign of the space-time curvature, we show that the standard and exotic actions of 3-dimensional gravity can be recovered from topological M-theory. With this result, we provide a concrete realisation of a conjecture by Dijkgraaf et al. stating that the partition function of topological M-theory is equivalent to the partition function of a black hole in a related theory. We do this for the standard and exotic BTZ black holes in 3-dimensional gravity.

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