Algebra of diffeomorphism-invariant operators in JT gravity from the Peierls bracket

Abstract: In this talk I will discuss recent work with Jie-qiang Wu, where we use the covariant method of Peierls to compute the algebra of a wide variety of diffeomorphism-invariant operators in arbitrary states of Jackiw-Teitelboim gravity coupled to matter. We are then able to recast many recent results as consequences of this algebra, including the scrambling time calculations of Shenker and Stanford, the traversable wormhole of Gao, Jafferis, and Wall, and the SL(2,R) generators of Lin, Maldacena, and Zhao. We are also able to clarify some aspects of the "firewall typicality" argument of Marolf and Polchinski. The algebra is quite rich, so we suspect there are more applications to be discovered.

statistical mechanicsHEP - theorymathematical physics

Audience: researchers in the topic

Princeton HET seminar