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Building up quantum spacetimes withBCFT LegoS

地点:南院科研综合楼106

时间:2024.12.27 16:00

报告人:

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孔令欣教授 清华大学

孔令欣本科就读于牛津,硕博就读于剑桥,曾在圆周率周理论物理研究所和哈佛大学物理系做博士后,回国后任复旦大学物理系长聘教授,2022年秋天加入丘成数学科学中心。主要研究领域为规范场论/引力场论对应(AdS/CFTCorrespondence及其在量子纠缠及量子信息学的应用。先后发表论文70余篇,2015年获“求是杰出青年学者奖”.



摘要Is it possible to read off the quantum gravity dual of a CFT directly from itsoperator algebra? In this essay, we present a step-by-step recipe synthesizing results andtechniques from conformal bootstrap, topological symmetries, tensor networks, a novelsymmetry-preserving real-space renormalization algorithm devised originally in latticemodels, and the asymptotics of quantum 6i symbols, thereby providing an answer in theaffirmative. Quantum 2D Liouville theory serves as a simple and explicit exampleillustrating how the quantum gravitational path integral can be built up from local piecesof BCF'T correlation functions, which we call the `BCFT Legos". The constructive mapbetween gravity and CFT naturally and explicitly bridges local geometrical dataalgebraic structures, and quantum entanglement, as envisaged by the ItfromOubit motto.


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