Non-invertible_symmetry

Non-invertible symmetry

Non-invertible symmetry

Add article description

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]

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.[2]

References

  1. [1]
    Schafer-Nameki, Sakura (2023). "ICTP Lectures on (Non-)Invertible Generalized Symmetries". arXiv:2305.18296 [hep-th].
  2. [2]
    Sela, Orr (2024). "Emergent non-invertible symmetries in N=4 Super-Yang-Mills theory". arXiv:2401.05032 [hep-th].


Stub icon

This article about theoretical physics is a stub. You can help Wikipedia by expanding it.
Share this article:

This article uses material from the Wikipedia article Non-invertible_symmetry, and is written by contributors. Text is available under a CC BY-SA 4.0 International License; additional terms may apply. Images, videos and audio are available under their respective licenses.