Asymptotic symmetries and soft charges of fractons

TL;DR

This paper explores the asymptotic symmetries and soft charges in fracton gauge theories, revealing a complex infrared structure and proposing two sets of conditions that encompass known solutions and extend symmetry algebras.

Contribution

It introduces two new sets of asymptotic conditions for fracton gauge theories, unifying known solutions and revealing an infinite-dimensional symmetry extension.

Findings

Both conditions lead to finite charges and resolve divergence issues.

The first condition reproduces the expected fracton symmetry algebra.

The second condition reveals a soft infinite-dimensional extension.

Abstract

The asymptotic structure of gauge theories describing fracton interactions is analyzed. Two sets of asymptotic conditions are proposed. Both encompass all known solutions, lead to finite charges and resolve the problem of the divergent energy coming from the monopole contribution. While the first set leads to the expected fracton symmetry algebra, including a dipole charge, the second set provides a soft infinite-dimensional extension of it. These soft charges provide evidence of a rich infrared structure for fracton-like theories and provide one corner of a possible fracton infrared triangle.