Applying Noether's theorem to the pure AdS3 gravity

by 洁强 吴 (中科院理论)

Thursday 22 May 2025, 15:10 → 16:10 Asia/Shanghai

B105 (CHEP)

In this work, we revisit the approach with the covariant phase space formalism for the asymptotic symmetry analysis in the pure AdS3 gravity. We modify the approach to a version which is exactly in the framework of Noether's theorem. The key point in the modification is to take a systematical treatment of the boundary effects. 
In particular, we start from defining the pure AdS3 gravity in Lagrangian formalism, where we adopt proper asymptotic boundary conditions, and we take holographic renormalization in the off-shell level. We then follow Noether's theorem step by step with a careful treatment of the boundary terms.
Following our modified approach, we get the following three results. First, we show that the asymptotic symmetries are indeed symmetries of the pure AdS3 gravity in the sense of Noether's theorem. Second, we compute the charges of the asymptotic symmetries with the expression of Noether charge, which reproduces the same result from the ordinarily used approach with the covariant phase space formalism. Third, we compute of the brackets between the charges of the asymptotic symmetries for a general metric of the asymptotic boundary conditions. 

Bio:
吴洁强于2017年在北京大学物理学院获得博士学位。吴洁强随后在麻省理工学院、加州大学圣塔芭芭拉分校做博士后。吴洁强于2022年加入中国科学院理论物理研究所，现任副研究员。吴洁强的研究方向是量子引力和黑洞物理。