The manifestly SO(2,d) gauge covariant formalism of AdS gravity is established by introducing the auxiliary ruler field in the fundamental representation of SO(2,d). The dynamics of bulk gravity is equivalent to the vanishing of the boundary covariant anomaly for the SO(2,d) conservation law. The descendent structure of the holographic SO(2,d) anomaly can be constructed systematically. In the dual CF'T side, we get a generalized version of the conformal geometry after introducing the corresponding SO(2,d) background ruler and gauge field. Based on the linear representations of OSp(1|4), the N = 1 AdS4 supergravity can also be reproduced in a manifestly supersymmetry-covariant way.

Biography

王兆龙，西北大学现代物理研究所副教授。2010年于中国科学技术大学获得博士学位，随后在KIAS做博士后研究，2014年进入西北大学任教。近年来主要集中于全息对偶，超引力和p-形式规范对称性的研究。

Inviter: Jie-Qiang Wu