Physical Math Seminar @SIMIS: How to find non-invertible symmetries in lattice models?

Speaker: Weiguang Cao (IPMU)

Abstract: Symmetry is one of the guiding principles in physics. Recently, the concept of global symmetry has been generalized, encompassing higher form symmetry, subsystem symmetry and non-invertible symmetry. This generalization has profound applications in both quantum field theories and quantum spin systems. In the first part of my talk, I will briefly review this recent development and its applications in spin models, including my work on constructing non-invertible symmetries in models with subsystem symmetry and dipole symmetry. In the second part, I will focus on the symmetry protected topological (SPT) phases with non-invertible symmetry. I will give a general way to classify these new phases and construct the corresponding lattice models. There exist anomalous edge modes at the interface of two distinct SPT phases, which could serve as a potential way to detect these non-invertible symmetries.

Time: 17:00-18:30, Thur., Nov. 14, 2024

Location: Room 1610 at SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai
Zoom Meeting No.: 423 317 8953 (Passcode: SIMIS)

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