Time: 10:00am (UTC/GMT+08:00, Beijing/Shanghai), Nov. 26 (Thur.), 2020

Online Meeting Room (zoom.com):  Click here to join the meeting

Meeting ID: 964 0880 1830

Password: 123123

Speaker: Yikun Jiang (Cornell)

Abstract:

Energy conditions play ubiquitous roles in gravity. However, all local energy conditions are violated in causal quantum field theories. Progress has been made in proving some non-local energy conditions in non-dynamical flat spacetime from causality and quantum information theory. On the other hand, the situation in theories coupled to dynamical gravity is less clear. In this talk, we will use the AdS/CFT correspondence to try to understand the energy conditions in the AdS bulk from inequalities in the dual CFT in Regge limit. We will first propose a new inequality for large N CFTs using the conformal Regge theory and the bound on chaos, which comes from CFT causality. And then we will show that in theory dual to Einstein gravity, this inequality leads to the ‘averaged null energy condition’ in the bulk. We will also discuss the implication for the relations between the Gao-Wald and Engelhardt-Fischetti criteria for boundary causality. Next, we will also interpret the dual of this inequality in the bulk string theory as a non-trivial stringy energy condition, which involves an infinite tower of higher spin particles. Finally we will discuss how we might combine techniques from modular theory to show the ‘quantum null energy condition’ in the bulk. The talk will be based on work in progress with Thomas Hartman and Amir Tajdini.