Physics:Non-invertible symmetry
From HandWiki
In physics, a non-invertible symmetry is a symmetry of a quantum field theory that is not described by a group, and which in particular does not have an inverse.
Non-invertible symmetries were first studied in 2-dimensional conformal field theory, where fusion categories govern the fusion rules, rather than a group.[1][2]
Four-dimensional examples of non-invertible symmetries can be obtained from Maxwell theory with topological theta term, via a combination of its SL(2,Z) duality and a discrete subgroup of its electric or magnetic 1-form symmetry.[3]
References
- ↑ Schafer-Nameki, Sakura (2024). "ICTP Lectures on (Non-)Invertible Generalized Symmetries". Physics Reports 1063: 1. doi:10.1016/j.physrep.2024.01.007. Bibcode: 2024PhR..1063....1S.
- ↑ Shao, Shu-Heng (2023). "What's Done Cannot be Undone: TASI Lectures on Non-Invertible Symmetries". arXiv:2308.00747 [hep-th].
- ↑ Sela, Orr (2024). "Emergent non-invertible symmetries in N=4 Super-Yang-Mills theory". arXiv:2401.05032 [hep-th].
External links
- "A New Kind of Symmetry Shakes Up Physics" by Kevin Hartnett, Quanta Magazine
- "Non-Invertible Symmetries and their Representations", video lecture by Sahand Seifnashri at Institute for Advanced Study
 |  |
