Modular Flow and Entanglement Wedge Reconstruction in JT Gravity
In this talk, the speaker will study the semiclassical limit of JT gravity with matter from von Neumann algebra viewpoint. JT gravity is a dilaton gravity in 1+1 dimension with negative constant curvature (namely AdS_2). Quantizing this theory and coupling it with a generic boundary CFT leads to a type II von Neuman algebra. In this full quantum treatment, there is no clear notion of bulk geometry. In semiclassical limit, the bulk spacetime becomes emergent, in which we will have geometric definition for causal wedge and entanglement wedge. Correspondingly, there is an emergent type III von Neumann algebra corresponding to the causal wedge. The speaker will show that the modular flow in semiclassical limit acts geometrically and extends the causal wedge to the full entanglement wedge.
About the Speaker
Dr. GAO Ping is postdoctoral associate at Rutgers University. His research interests include quantum gravity, holographic duality, quantum chaos, black holes, quantum information, effective field theory, etc. He received his PhD in theoretical physics at Harvard under supervision of Prof. Daniel JAFFERIS before he joined MIT as a postdoctoral associate for 2019-2023
About the Program
For more information, please refer to the program website at http://iasprogram.ust.hk/particle_theory.
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