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Exotic $U(1)$ Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory

by Nathan Seiberg, Shu-Heng Shao

Submission summary

As Contributors: Shu-Heng Shao
Arxiv Link: https://arxiv.org/abs/2004.00015v2 (pdf)
Date submitted: 2020-06-09
Submitted by: Shao, Shu-Heng
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Condensed Matter Physics - Theory
Approach: Theoretical

Abstract

We extend our exploration of nonstandard continuum quantum field theories in 2+1 dimensions to 3+1 dimensions. These theories exhibit exotic global symmetries, a peculiar spectrum of charged states, unusual gauge symmetries, and surprising dualities. Many of the systems we study have a known lattice construction. In particular, one of them is a known gapless fracton model. The novelty here is in their continuum field theory description. In this paper, we focus on models with a global $U(1)$ symmetry and in a followup paper we will study models with a global $\mathbb{Z}_N$ symmetry.

Current status:
Editor-in-charge assigned


Submission & Refereeing History

Submission 2004.00015v2 on 9 June 2020

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