题 目：Hartle-Hawking state and its factorization in 3d gravity
报告人：蔡宛蓁，康奈尔大学
时 间：2024年1月25号（星期四）11:00
地 点：284 425 8753 Passcode: 537135
邀请人：周思益
报告摘要：In this talk, I will first describe work on 3d quantum gravity with two asymptotically AdS regions, in particular, using its relation with coupled Alekseev-Shatashvili theories and Liouville theory. Expressions for the Hartle-Hawking state, thermal 2n-point functions, torus wormhole correlators and Wheeler-DeWitt wavefunctions in different bases are obtained using the ZZ boundary states in Liouville theory. Exact results in 2d Jackiw-Teitelboim (JT) gravity are uplifted to 3d gravity, with two copies of Liouville theory in 3d gravity playing a similar role as Schwarzian theory in JT gravity. The connection between 3d gravity and the Liouville ZZ boundary states are manifested by viewing BTZ black holes as Maldacena-Maoz wormholes, with the two wormhole boundaries glued along the ZZ boundaries. I will also introduce the factorization problem of the Hartle-Hawking state in this setup.
W.Z. Chua received her Bachelor degree from HKUST in 2019 and Masters degree from Perimeter Institute in 2020. She is currently a fourth year PhD student at Cornell University. She is interested in using the AdS/CFT corres