Tori, Klein bottles, and modulo 8 parity/time-reversal anomalies of 2+1d staggered fermions
Abstract
A bstract We study the symmetries of lattice staggered fermions in 2+1d. Using the symmetries, we can place the system on any sheared torus or Klein bottle. These different backgrounds provide diagnostics of various ’t Hooft anomalies associated with the crystalline symmetries. We then compare the lattice model to its continuum limit. The symmetries of the lattice system are mapped in a nontrivial way to the symmetries of the continuum theories. Using this map, we match the ’t Hooft anomalies on the lattice and the continuum. Along the way, we develop a general formalism to study Hamiltonian lattice models on nontrivial, compact, flat spaces.
Fields of Study & Subjects
Quantum Chromodynamics and Particle Interactions
Topological Materials and Phenomena
Nuclear physics research studies
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 5
- Publication date
- 22 May 2026
- Language
- EN