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IAS PROGRAM ON PARTICLE THEORY
Entanglement Branes, Modular Flow and Extended Topological Quantum Field Theory
Dr. Gabriel WONG, 復旦大學
日期 : 2019年 3月 7日 (星期四)
時間 : 下午2時
地點 : 香港科技大學 李兆基校園 盧家驄薈萃樓4樓 高研院4042室
詳情

Abstract

In gauge theories, there is an inherent tension between locality and gauge invariance. This is precisely expressed by the failure to factorize the physical Hilbert space into local tensor products. The extended Hilbert space offers a resolution to this problem by embedding physical states into a larger Hilbert space containing gauge variant degrees of freedom. For two-dimensional Topological Quantum Field Theories (TQFTs), the speaker’s research team show how this extension fits inside the framework of extended quantum field theory (QFT), as described by the Moore-Segal axioms. Originally formulated for D-branes, they apply these axioms to the entanglement edge modes of the extended Hilbert space. For the case of two-dimensional Yang-Mills and its string theory dual, they demonstrate how this framework leads to exact calculations of multi-interval modular flow, negativity, and entanglement entropy. Moreover, an axiomatic formulation of the "entanglement brane" will be given, which nicely compliments the worldsheet description given in previous works.


About the program

For more information, please refer to the program website at http://iasprogram.ust.hk/particle_theory.

HKUST Jockey Club Institute for Advanced Study
Enquiries: ias@ust.hk / 2358 5912
http://ias.ust.hk