Universal Non-invertible symmetries

by Dr Jingxiang Wu (University of Oxford)

Friday 4 Nov 2022, 15:00 → 16:00 Asia/Shanghai

It is well-known that gauging a finite 0-form symmetry in a quantum field theory leads to a dual symmetry generated by topological Wilson line defects. These are described by the representations of the 0-form symmetry group which form a 1-category. We argue that for a d-dimensional quantum field theory the full set of dual symmetries one obtains is in fact much larger and is described by a (d-1)-category, which is formed out of lower-dimensional topological quantum field theories with the same 0-form symmetry. We study in detail a 2-categorical piece of this (d-1)-category described by 2d topological quantum field theories with 0-form symmetry. We further show that the objects of this 2-category are the recently discussed 2d condensation defects constructed from higher-gauging of Wilson lines. 

Bio: Jingxiang Wu received his PhD in physics from Perimeter Institute in 2021 under the supervision of Davide Gaiotto.  He is currently a postdoctoral fellow at Mathematical Institute, University of Oxford. He is broadly interested in formal aspects of quantum field theory with emphasis on the dualities, defects and how they unveil the nonperturbative physics. 

Zoom Meeting:
https://cern.zoom.us/j/96357968034?pwd=K2REeGF0V2dqOElRd09hVGVRcDk4Zz09

Zoom：963 5796 8034
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