Super-Higher-Form Symmetries
摘要
We review the construction of higher-form symmetries for supersymmetric theories using a supergeometry framework. This reveals an enlarged set of topological conserved supercurrents, including Chern-Weil symmetries and new geometric Chern-Weil symmetries built from invariant supermanifold forms. In N=1 super-Maxwell theory in three dimensions, we construct the corresponding operators and charged defects, with charges determined by a super-linking number between their supporting hypersurfaces. At the end we provide as an original unpublished contribution some hints on how to construct super-symTFT for Chern-Weil and geometric Chern-Weil symmetries directly from supergravity.
引用
@article{arxiv.2605.12383,
title = {Super-Higher-Form Symmetries},
author = {Pietro Antonio Grassi and Silvia Penati},
journal= {arXiv preprint arXiv:2605.12383},
year = {2026}
}
备注
Contribution to the proceedings of Corfu Summer Institute 2025 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2025) and Cost Action CaLISTA General Meeting 2025, "Cartan, Generalised and Noncommutative Geometries, Lie Theory and Integrable Systems Meet Vision and Physical Models"