Fractons, geometrically

Abstract: I will discuss how fracton physics can be studied systematically within the geometric framework of Double Field Theory (DFT). Following an introductory review of fractons, I will argue that their restricted mobility and large degeneracy of quantum states can be attributed to the generalized geodesics and infinite-dimensional isometries present in non-Riemannian backgrounds of DFT. Furthermore, we find that a doubled pure Yang-Mills or Maxwell theory reduces to an ordinary one interacting with a strain tensor theory, giving a unifying description of photons and phonons. I will show how this photon-phonon theory, when minimally coupled to a charged particle in a non-Riemannian background, lifts the particle immobility to a saturation velocity and gives a modified dispersion relation.

HEP - theory

Audience: researchers in the topic

Advances in Theoretical Physics 2022

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