SYK Model and Statistical Mechanics of 2D Black Hole

by Dr 明 陈 (School of Mathematics and Physics, The University of Queensland, Brisbane, Queensland, Australia)

Monday 22 Jun 2020, 16:00 → 17:00 Asia/Shanghai

ID:498 407 026 (腾讯会议)

腾讯会议（ID:498 407 026） 摘要：SYK model is a simplified attempt toward quantum gravity. The model itself is (0+1)-dimensional quantum “blobs” evolving in time, with effective theory analogy to gravity in (1+1) dimensions. At strong coupling limit, it has an emergent, spontaneously broken and explicitly broken conformal symmetry as well as the corresponding pseudo-Goldstone mode. In this report, I will firstly make a general review about the model and its relation with Jackiw-Teitelboim theory, including their geometric foundation and corresponding Schwarzian. Then, the statistical mechanics of 2D black hole will be discussed through the determined density matrix as well as the coarse-grained thermofield double state. Secondly, the other approaches to black hole physics, like ’t Hooft’s “conventional-style” address on the topology of spacetime, one particular black hole formation picture, and the causal dynamical triangulations theory or lattice gravity, will also be mentioned comparatively. At last, I will talk about the construction of SYK model, through tracing back to EA/SK models to disentangle the construction logic of it. According to our work, we not only recall the technical essence of replica method but also clarify the model transmutation to matrix model and its correspondence with vector model. It is argued that SYK model is formally a hybrid of these two models, thus its quantum and semiclassical properties are also clarified. If time permitted, I will make an outlook of our other works which are pertinent to higher-dimensional black holes.