Covariant interacting fractons

Abstract

We show that there exists a natural analog of the Yang-Mills equations using the Frölicher-Nijenhuis bracketbetweenvector-valueddifferentialforms.Thegaugefield isarank-2tensor,andwhenoneconstrains it to be symmetric, then the system exhibits fractonic behaviors. In the linearized limit, the constrained equations of motion reduce to those of the covariant fracton model [Phys. Rev. D 106, 125008 (2022), Phys. Lett. B 833, 137304 (2022), and Notes from the bulk, Ph.D. thesis, Universit` a di Genova, 2024.].