Comments on Quivers and Fractons

TL;DR

This paper explores the structural similarities between supersymmetric quiver gauge theories and fracton phases of matter, highlighting their shared features like sub-system symmetries and limited excitation mobility.

Contribution

It introduces a novel perspective linking quiver gauge theories to lattice models exhibiting fracton-like properties, emphasizing their structural analogies.

Findings

Quiver models can be interpreted as lattice models with sub-system symmetries.

Moduli space dimensions grow linearly with lattice size.

Excitations exhibit limited mobility, akin to fractons.

Abstract

We discuss certain structural analogies between supersymmetric quiver gauge theories and lattice models leading to fracton phases of matter. In particular, classes of quiver models can be viewed as lattice models having sub-system symmetries, dimensions of moduli spaces growing linearly with the size of the lattice, and having excitations with limited mobility (with "excitations" and "mobility" properly defined).