Fractonic self-duality and covariant magnetic fractons
arXiv:2501.18510 · doi:10.1016/j.aop.2025.170138
Abstract
Fractons, excitations with restricted mobility, have emerged as a novel paradigm in high-energy and condensed matter physics, revealing deep connections to gauge theories and gravity. Here, we propose a tensorial generalization of electromagnetic duality using a doubled-potential framework with two symmetric tensor gauge fields. This approach symmetrically describes electric and magnetic sectors, introducing covariant magnetic fractons with reduced mobility and supporting a genuine fractonic self-duality. Notably, we find the absence of a Witten-like effect in the covariant fractonic case, precluding the emergence of fractonic dyons.
32 pages, comments added, to appear in Annals of Physics
References in corpus (29)
- Local stabilizer codes in three dimensions without string logical operators
- Fracton Phases of Matter
- Exotic Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory
- Fractons, dipole symmetries and curved spacetime
- Higher-Spin Witten Effect and Two-Dimensional Fracton Phases
- Multipole conservation laws and subdiffusion in any dimension
- Multipolar Topological Field Theories: Bridging Higher Order Topological Insulators and Fractons
- Carroll/fracton particles and their correspondence
- Volume-preserving diffeomorphism as nonabelian higher-rank gauge symmetry
- Infinite families of fracton fluids with momentum conservation
- Comments on Foliated Gauge Theories and Dualities in 3+1d
- 2+1d Compact Lifshitz Theory, Tensor Gauge Theory, and Fractons
- Vortex-boson duality in four space-time dimensions
- Maxwell theory of fractons
- The theory of symmetric tensor field: from fractons to gravitons and back
- Gauging fractons and linearized gravity
- Fracton magnetohydrodynamics
- Covariant fracton gauge theory with boundary
- Fracton gravity from spacetime dipole symmetry
- The dimensional reduction of linearized spin-2 theories invariant under transverse diffeomorphisms
- Electric-magnetic duality and renormalization in curved spacetimes
- Topological BF description of 2D accelerated chiral edge modes
- Fracton-elasticity duality on curved manifolds
- Asymptotic symmetries and soft charges of fractons
- Covariant Interacting Fractons
- Hall-like behaviour of higher rank Chern-Simons theory of fractons
- Dynamical Signatures of Rank-2 Spin Liquids
- Fermionic dualities with axial gauge fields
- Quasi-topological fractons: a 3D dipolar gauge theory