Research
Noninvertible Bosonic Chiral Symmetry on the Lattice
feeds.aps.org · By Lukasz Fidkowski, Cenke Xu & Carolyn Zhang ·
The Brief
- The paper constructs a continuous chiral symmetry in a 3D quantum rotor model.
- Gauging the charge symmetry yields noninvertible, duality-like operations on the lattice.
- It was published in Physical Review X, volume 16, article 041036.
Why it matters
It gives a concrete lattice realization of a noninvertible chiral symmetry in a bosonic system, which helps physicists study such symmetries in a setting they can compute with.
Who’s affected
- theoretical and condensed matter physicists
- researchers working on lattice field theory and generalized symmetries
- #chiral symmetry
- #lattice models
- #noninvertible symmetry
- #quantum rotor
- #bosonic systems
Author(s): Lukasz Fidkowski, Cenke Xu, and Carolyn Zhang Construction of a continuous chiral symmetry in a 3D quantum rotor model demonstrates that gauging charge symmetry yields noninvertible, duality-like lattice operations. [Phys. Rev. X 16, 041036] Published Mon Nov 09, 2026
Timeline
Published in Physical Review X (vol. 16, art. 041036)
feeds.aps.org
Noninvertible Bosonic Chiral Symmetry on the Lattice