Weyl-Ambient Metrics, Obstruction Tensors and Their Roles in Holography

by Dr Weizhen Jia (UIUC)

Friday 16 Aug 2024, 10:00 → 11:00 Asia/Shanghai

B105 (CHEP)

Weyl geometry is a natural extension of conformal geometry with Weyl covariance mediated by a Weyl connection. We generalize the Fefferman-Graham (FG) ambient construction for conformal manifolds to a corresponding construction for Weyl manifolds. We first introduce the Weyl-ambient metric motivated by the Weyl-Fefferman-Graham (WFG) gauge, which is a generalization of the FG gauge for asymptotically locally AdS (AlAdS) spacetimes. Then, the Weyl-ambient space as a pseudo-Riemannian geometry induces a codimension-2 Weyl geometry. Through the Weyl-ambient construction, we investigate Weyl-covariant quantities on the Weyl manifold and define Weyl-obstruction tensors. We show that Weyl-obstruction tensors appear as poles in the Fefferman-Graham expansion of the AlAdS bulk metric for even boundary dimensions. Under holographic renormalization, we demonstrate that Weyl-obstruction tensors can be used as the building blocks for the Weyl anomaly of the dual quantum field theory.

贾唯真，2017年本科毕业于北京师范大学，2024年博士毕业于美国伊利诺伊大学厄巴纳香槟分校(UIUC)，目前为德国维尔茨堡大学博士后，研究方向包括高能理论、凝聚态理论和数学物理，主要从事量子场论、全息对偶、量子反常以及拓扑相的相关研究。

Tencent Meeting：453-643-750

请线下参加报告的外单位老师、同学注册时填写个人信息（中文姓名、身份证号码及手机号码），用于预约进入物理学院。