English

Fermionic Higher-form Symmetries

High Energy Physics - Theory 2023-10-10 v4

Abstract

In this paper, we explore a new type of global symmetries-the fermionic higher-form symmetries. They are generated by topological operators with fermionic parameter, which act on fermionic extended objects. We present a set of field theory examples with fermionic higher-form symmetries, which are constructed from fermionic tensor fields. They include the free fermionic tensor theories, a new type of fermionic topological quantum field theories, as well as the exotic 6d (4,0) theory. We also discuss the gauging and breaking of such global symmetries and the relation to the no global symmetry swampland conjecture.

Keywords

Cite

@article{arxiv.2303.12633,
  title  = {Fermionic Higher-form Symmetries},
  author = {Yi-Nan Wang and Yi Zhang},
  journal= {arXiv preprint arXiv:2303.12633},
  year   = {2023}
}

Comments

29 pages

R2 v1 2026-06-28T09:28:17.250Z