Super-Higher-Form Symmetries
Abstract
We generalize the study of higher-form-symmetries to theories with supersymmetry. Using a supergeometry formulation, we find that ordinary higher-form-symmetries nicely combine with supersymmetry to give rise to a much larger spectrum of topological conserved (super)currents. These can be classified as a supersymmetric version of Chern-Weil symmetries, and a brand new set of geometric-Chern-Weil symmetries whose generators are constructed using invariant differential forms in super-manifolds. For N=1 super-Maxwell theory in various dimensions, we build the topological operators generating these super-higher-form symmetries and construct defects carrying non-trivial charges. Notably, the charge is proportional to the super-linking number between the super-hypersurface supporting the symmetry generator and the one supporting the defect.
Cite
@article{arxiv.2503.16182,
title = {Super-Higher-Form Symmetries},
author = {P. A. Grassi and S. Penati},
journal= {arXiv preprint arXiv:2503.16182},
year = {2025}
}
Comments
42 pp, we included the comments by the referee, some clarifications in appendix , 4 more references, minor misprints corrected