Covariant fracton gauge theory

TL;DR

This paper introduces a covariant gauge theory for fractons, linking gauge and global symmetries, and resolves previous paradoxes using a Galileon scalar doublet as the matter field.

Contribution

It provides the first covariant formulation of fracton gauge theories, connecting gauge symmetries with global symmetries and resolving longstanding paradoxes.

Findings

Established a covariant action for fracton gauge theories

Connected fracton gauge symmetries with global symmetries of free dynamics

Resolved past paradoxes using Galileon scalar doublets

Abstract

A paradigm shift of the fracton physics research is established by providing a covariant formulation of the action. For the first time, fracton gauge symmetries are connected with the global symmetries of the free dynamics. A Galileon doublet are assumed to construct the scalar charged matter field. The corresponding action is shown to be the repository of all the symmetries of the system. The symmetric tensor gauge field introduced during localization of the gauge symmetries is the empirical tensor gauge field known today. All the past paradoxes are shown to dispel by the use of Galileon scalar field doublet in place of the usual scalar field doublet as the basic building blocks of matter action.