Exotic $\mathbb{Z}_N$ Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory
Strongly Correlated Electrons
2021-01-13 v3 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.2004.06115,
title = {Exotic $\mathbb{Z}_N$ Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory},
author = {Nathan Seiberg and Shu-Heng Shao},
journal= {arXiv preprint arXiv:2004.06115},
year = {2021}
}
Comments
46 pages. v3: minor changes