Exotic $U(1)$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory
Nathan Seiberg, Shu-Heng Shao
SciPost Phys. 9, 046 (2020) · published 5 October 2020
- doi: 10.21468/SciPostPhys.9.4.046
- Submissions/Reports
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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.
TY - JOUR
PB - SciPost Foundation
DO - 10.21468/SciPostPhys.9.4.046
TI - Exotic $U(1)$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory
PY - 2020/10/05
UR - https://scipost.org/SciPostPhys.9.4.046
JF - SciPost Physics
JA - SciPost Phys.
VL - 9
IS - 4
SP - 046
A1 - Seiberg, Nathan
AU - Shao, Shu-Heng
AB - 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.
ER -
@Article{10.21468/SciPostPhys.9.4.046,
title={{Exotic $U(1)$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory}},
author={Nathan Seiberg and Shu-Heng Shao},
journal={SciPost Phys.},
volume={9},
pages={046},
year={2020},
publisher={SciPost},
doi={10.21468/SciPostPhys.9.4.046},
url={https://scipost.org/10.21468/SciPostPhys.9.4.046},
}
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