Fractonic solids
Abstract
Fractons are exotic quasiparticles whose mobility in space is restricted by symmetries. In potential real-world realisations, fractons are likely lodged to a physical material rather than absolute space. Motivated by this, we propose and explore a new symmetry principle that restricts the motion of fractons relative to a physical solid. Unlike models with restricted mobility in absolute space, these fractonic solids admit gauge-invariant momentum density, are compatible with boost symmetry, and can consistently be coupled to gravity. We also propose a holographic model for fractonic solids.
Cite
@article{arxiv.2406.07334,
title = {Fractonic solids},
author = {Akash Jain},
journal= {arXiv preprint arXiv:2406.07334},
year = {2026}
}
Comments
7 pages + bibliography and appendices; two supplementary mathematica notebooks are included containing details of the dispersion relations and the holographic model (also available at https://github.com/ajainphysics/Mathematica-Notebooks/tree/main/%5BarXiv%3A2406.07334%5D%20Fractonic%20Solids). v2: version accepted for publication; added new numerical calculations for the holographic model