English

Understanding Fermionic Generalized Symmetries

High Energy Physics - Theory 2024-11-07 v3

Abstract

We explore new aspects of internal fermionic shifting symmetries, present in physical systems such as free Dirac spinors and p-form tensor-spinor fields. We propose a novel procedure to gauge these global symmetries, which also introduces a new St\"uckelberg mechanism to give a mass to free fermionic fields. Furthermore, we find new magnetic fermionic symmetries in these physical systems whose charged objects are disorder operators. For the case of a Dirac spinor, we discuss an dual description, where the magnetic symmetry acts on the holonomies of a dual 2-form tensor-spinor. Further generalizations such as higher-group-like structures are also discussed.

Keywords

Cite

@article{arxiv.2404.12301,
  title  = {Understanding Fermionic Generalized Symmetries},
  author = {Federico Ambrosino and Ran Luo and Yi-Nan Wang and Yi Zhang},
  journal= {arXiv preprint arXiv:2404.12301},
  year   = {2024}
}

Comments

5 pages plus 3 appendices. v3: Added Appendix C: "Hamiltonian analysis of coupled systems", typos fixed, references added

R2 v1 2026-06-28T15:58:55.504Z