中科院数学与系统科学研究院

数学研究所

数学物理研讨班

报告人： 马永革 教授（北京师范大学）

题  目：Isolated Horizon Entropy in Loop Quantum Gravity

时  间：2021.01.13（星期三），14:00-15:00

地  点：数学院南楼N208教室

摘  要：The statistical origin of black hole entropy is the great mystery which has to be explored by any quantum gravity theory. The quasi-local notion of isolated horizon was proposed in order to formulate the horizon of a black hole by phase space functions which can be quantized. We can consider the isolated horizon as an inner boundary of a four-dimensional asymptotically flat spacetime region. Because of the isolated horizon condition, it turns out that, with different gauge choices, the boundary degrees of freedom of spherically symmetric horizon can be described either by a SU(2) Chern-Simons theory with punctures or by a SO(1,1) BF theory with sources. In both cases the entropy of the isolated horizon can be calculated in the framework of loop quantum gravity. The BF theory description of the boundary degrees of freedom can be extended to horizons with arbitrary shapes and is applicable in arbitrary dimensions of spacetime.