Date:  16 Dec. 2022, 10:00am

Speaker: Jieqiang Wu （吴洁强）

Affiliation: ITP, CAS

Tencent/VooV Meeting ID: 973-6909-6865

Online Meeting Link: https://meeting.tencent.com/dm/ZGVDkboF0pFP

Abstract:

In this work, we construct several diffeomorphism invariant observables in AdS_3 gravity in the context of the entanglement wedge cross section. The set of observables that we construct includes the entanglement wedge cross section and four extra half geodesics' lengths. We try to study the properties of these observables in Hamiltonian formalism including: the system's evolutions generated by these observables and the brackets between these observables. We use two approaches to study these questions, by the brackets of the Brown-York tensor’s components in the covariant phase space formalism and by canonical formalism, which give consistent results.

With the two methods, we get several interesting results related to these questions. We find that the entanglement wedge cross section generates a novel behavior in the system's evolution, which include a split at the HRT surface. We compute the brackets between these observables, and the only non-zero ones are the brackets of the entanglement wedge cross section with the four half geodesics. Inspired from this set-up, we also construct a slightly different geodesic network where all of the geodesics' lengths commute with each other.

Introduction of Speaker:

吴洁强，主要研究方向为量子引力和黑洞物理。于2017年在北京大学取得博士学位。2017年9月至2021年6月，在美国麻省理工学院任博士后。2021年6月至2022年8月，在美国加州大学圣塔芭芭拉分校任博士后。2022年9月起，在中国科学院理论物理研究所任副研究员。