English

Generalized Symmetries in Condensed Matter

Strongly Correlated Electrons 2025-01-07 v3 High Energy Physics - Theory

Abstract

Recent advances in our understanding of symmetry in quantum many-body systems offer the possibility of a generalized Landau paradigm that encompasses all equilibrium phases of matter. This is a brief and elementary review of some of these developments.

Keywords

Cite

@article{arxiv.2204.03045,
  title  = {Generalized Symmetries in Condensed Matter},
  author = {John McGreevy},
  journal= {arXiv preprint arXiv:2204.03045},
  year   = {2025}
}

Comments

27 pages + refs; v2: added refs, minor improvements; v3: corrected a statement about the relation between SSB of higher-form symmetry and topological order, added an appendix explaining a counterexample, based on 2305.07063

R2 v1 2026-06-24T10:40:21.821Z