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：  杨海棠 教授（四川大学物理学院）

题  目：Possible correspondence between geometry and topology, 3d geometry reconstruction from 2D CFT entanglement entropy.

时  间：2018.09.06（星期四），14:00-15:00

地  点：数学院南楼N204室

摘  要：The talk consists of two parts. In the first part, I propose that Guage/Gravity correspondence could be alternatively interpreted as a correspondence of Topology/Geometry. After reformulating the T-duality in the AdS geometry by a covariant approach, I present an example for this interpretation based on the Goparkumar-Vafa formula. The second part was motivated by the first one. I give a systematic approach to derive the 3D classical geometries from the dual 2D CFT data, the entanglement entropies. I am going to use the pure AdS and BTZ black hole as examples. With our approach, all 3D classical (topologically different) geometries can be derived from 2D CFT data.