Exotic $\mathbb{Z}_N$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory

Seiberg, Nathan; Shao, Shu-Heng

doi:10.21468/SciPostPhys.10.1.003

SciPost Physics

Exotic $\mathbb{Z}_N$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory

Nathan Seiberg, Shu-Heng Shao

SciPost Phys. 10, 003 (2021) · published 8 January 2021

doi: 10.21468/SciPostPhys.10.1.003
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Abstract

Following our earlier analyses of nonstandard continuum quantum field theories, we study here gapped systems in 3+1 dimensions, which exhibit fractonic behavior. In particular, we present three dual field theory descriptions of the low-energy physics of the X-cube model. A key aspect of our constructions is the use of discontinuous fields in the continuum field theory. Spacetime is continuous, but the fields are not.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.10.1.003
TI  - Exotic $\mathbb{Z}_N$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory
PY  - 2021/01/08
UR  - https://www.scipost.org/SciPostPhys.10.1.003
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 10
IS  - 1
SP  - 003
A1  - Seiberg, Nathan
AU  - Shao, Shu-Heng
AB  - Following our earlier analyses of nonstandard continuum quantum field theories, we study here gapped systems in 3+1 dimensions, which exhibit fractonic behavior. In particular, we present three dual field theory descriptions of the low-energy physics of the X-cube model. A key aspect of our constructions is the use of discontinuous fields in the continuum field theory. Spacetime is continuous, but the fields are not.
ER  -

@Article{10.21468/SciPostPhys.10.1.003,
	title={{Exotic $\mathbb{Z}_N$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory}},
	author={Nathan Seiberg and Shu-Heng Shao},
	journal={SciPost Phys.},
	volume={10},
	pages={003},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.10.1.003},
	url={https://scipost.org/10.21468/SciPostPhys.10.1.003},
}

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Authors / Affiliation: mappings to Contributors and Organizations

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¹ Nathan Seiberg,
¹ Shu-Heng Shao

¹ Institute for Advanced Study [IAS]

Funders for the research work leading to this publication