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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
| Authors (as registered SciPost users): | Nathan Seiberg · Shu-Heng Shao |
| Submission information | |
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| Preprint Link: | scipost_202009_00007v1 (pdf) |
| Date accepted: | Sept. 28, 2020 |
| Date submitted: | Sept. 4, 2020, 4:42 p.m. |
| Submitted by: | Shu-Heng Shao |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| 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.
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