# Non-invertible coset symmetry and fractionalization

- Institution: CERN
- Department: TH String Theory Seminar
- Speaker: Po-Shen Hsin
- Year: 2024
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3017418)
- Licence: [CERN](http://copyright.web.cern.ch)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

Coset symmetry arises in many systems such as Higgs phases of gauge theories and quantum spin liquids. When the coset is quotient by a non-normal subgroup, coset symmetry becomes a non-invertible symmetry. I will discuss properties of coset non-invertible symmetry and its fractionalization using examples in field theories and lattice models, and comment on the dynamical implication. The talk is based on arXiv: 2405.20401 and work in progress with Ryohei Kobayashi and Carolyn Zhang.

## Lectures

1. [Non-invertible coset symmetry and fractionalization](https://invisiblenetwork.ai/learn/cern/3017418/175bba0c990c), 1 h 5 min (CERN's player)