报告题目：Generalized conformal geometry, CFT conservation laws and holography            

报告人：王兆龙 副教授 （西北大学）

报告时间：2023年12月14日（周四）下午15:30-16:30

报告地点：北洋园校区49教210室

报告摘要：

Inspired by the $SO(2,d)$ gauge theory formalism of AdS gravity, the corresponding $SO(2,d)$ background ruler and gauge field are introduced on the dual CFT side. In addition to the metric $g_{\mu\nu}$, another background 2-tensor $f_{\mu\nu}$ appears in this formalism. $f_{\mu\nu}$ can be viewed as a natural generalization of the Schouten tensor and thus we get a generalized version of conformal geometry. For a CFT coupled to the generalized conformal geometry, $f_{\mu\nu}$ contributes additional terms in the diffeomorphism and Weyl conservation laws. In the presence of these additional terms, the bulk Hamiltonian constraints of AdS gravity is explicitly reproduced by the CFT conservation laws. Besides, the radial evolution equation of the bulk gravity is naturally identified with the Callan-Symanzik equation of the theories coupled to generalized conformal geometry.

报告人简介：

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，随后在韩国高等研究院(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方面的研究, 致力于对AdS/CFT对偶给出第一原理意义上的理解和构造。