Exotic $$\mathbb{Z}_N$$ symmetries, duality, and fractons in 3+1-dimensional quantum field 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.
- Authors:
-
- Institute for Advanced Study, Princeton University
- Publication Date:
- Research Org.:
- Institute for Advanced Study, Princeton, NJ (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); Simons Foundation
- OSTI Identifier:
- 1756198
- Alternate Identifier(s):
- OSTI ID: 1851251
- Grant/Contract Number:
- SC0009988; 651440
- Resource Type:
- Published Article
- Journal Name:
- SciPost Physics
- Additional Journal Information:
- Journal Name: SciPost Physics Journal Volume: 10 Journal Issue: 1; Journal ID: ISSN 2542-4653
- Publisher:
- Stichting SciPost
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics
Citation Formats
Seiberg, Nathan, and Shao, Shu-Heng. Exotic $\mathbb{Z}_N$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory. Netherlands: N. p., 2021.
Web. doi:10.21468/SciPostPhys.10.1.003.
Seiberg, Nathan, & Shao, Shu-Heng. Exotic $\mathbb{Z}_N$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory. Netherlands. https://doi.org/10.21468/SciPostPhys.10.1.003
Seiberg, Nathan, and Shao, Shu-Heng. Fri .
"Exotic $\mathbb{Z}_N$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory". Netherlands. https://doi.org/10.21468/SciPostPhys.10.1.003.
@article{osti_1756198,
title = {Exotic $\mathbb{Z}_N$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory},
author = {Seiberg, Nathan and Shao, Shu-Heng},
abstractNote = {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.},
doi = {10.21468/SciPostPhys.10.1.003},
journal = {SciPost Physics},
number = 1,
volume = 10,
place = {Netherlands},
year = {Fri Jan 08 00:00:00 EST 2021},
month = {Fri Jan 08 00:00:00 EST 2021}
}
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https://doi.org/10.21468/SciPostPhys.10.1.003
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Works referenced in this record:
Quantum field theory of X-cube fracton topological order and robust degeneracy from geometry
journal, November 2017
- Slagle, Kevin; Kim, Yong Baek
- Physical Review B, Vol. 96, Issue 19
Fracton topological order, generalized lattice gauge theory, and duality
journal, December 2016
- Vijay, Sagar; Haah, Jeongwan; Fu, Liang
- Physical Review B, Vol. 94, Issue 23
-fractonic Maxwell theory
journal, February 2020
- Shenoy, Vijay B.; Moessner, Roderich
- Physical Review B, Vol. 101, Issue 8
Higgs mechanism in higher-rank symmetric U(1) gauge theories
journal, June 2018
- Bulmash, Daniel; Barkeshli, Maissam
- Physical Review B, Vol. 97, Issue 23
Higher-form gauge symmetries in multipole topological phases
journal, November 2020
- Dubinkin, Oleg; Rasmussen, Alex; Hughes, Taylor L.
- Annals of Physics, Vol. 422
D-brane charges in five-brane backgrounds
journal, October 2001
- Maldacena, Juan; Seiberg, Nathan; Moore, Gregory
- Journal of High Energy Physics, Vol. 2001, Issue 10
More exotic field theories in 3+1 dimensions
journal, January 2020
- Gorantla, Pranay; Lam, Ho Tat; Seiberg, Nathan
- SciPost Physics, Vol. 9, Issue 5
Towards Classification of Fracton Phases: The Multipole Algebra
journal, August 2019
- Gromov, Andrey
- Physical Review X, Vol. 9, Issue 3
Fractionalization in an easy-axis Kagome antiferromagnet
journal, May 2002
- Balents, L.; Fisher, M. P. A.; Girvin, S. M.
- Physical Review B, Vol. 65, Issue 22
Higher-spin Witten effect and two-dimensional fracton phases
journal, September 2017
- Pretko, Michael
- Physical Review B, Vol. 96, Issue 12
Symmetries and strings in field theory and gravity
journal, April 2011
- Banks, Tom; Seiberg, Nathan
- Physical Review D, Vol. 83, Issue 8
Emergent fractons and algebraic quantum liquid from plaquette melting transitions
journal, February 2020
- You, Yizhi; Bi, Zhen; Pretko, Michael
- Physical Review Research, Vol. 2, Issue 1
Subdimensional particle structure of higher rank spin liquids
journal, March 2017
- Pretko, Michael
- Physical Review B, Vol. 95, Issue 11
Generalized global symmetries
journal, February 2015
- Gaiotto, Davide; Kapustin, Anton; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2015, Issue 2
The fracton gauge principle
journal, September 2018
- Pretko, Michael
- Physical Review B, Vol. 98, Issue 11
Exotic $U(1)$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory
journal, January 2020
- Seiberg, Nathan; Shao, Shu-Heng
- SciPost Physics, Vol. 9, Issue 4
Quantum mechanical and information theoretic view on classical glass transitions
journal, May 2010
- Castelnovo, Claudio; Chamon, Claudio; Sherrington, David
- Physical Review B, Vol. 81, Issue 18
Field theories with a vector global symmetry
journal, January 2020
- Seiberg, Nathan
- SciPost Physics, Vol. 8, Issue 4
Fracton topological order from the Higgs and partial-confinement mechanisms of rank-two gauge theory
journal, July 2018
- Ma, Han; Hermele, Michael; Chen, Xie
- Physical Review B, Vol. 98, Issue 3
Fracton-Elasticity Duality
journal, May 2018
- Pretko, Michael; Radzihovsky, Leo
- Physical Review Letters, Vol. 120, Issue 19
Fault-tolerant quantum computation by anyons
journal, January 2003
- Kitaev, A. Yu.
- Annals of Physics, Vol. 303, Issue 1
Symmetric fracton matter: Twisted and enriched
journal, May 2020
- You, Yizhi; Devakul, Trithep; Burnell, F. J.
- Annals of Physics, Vol. 416
Symmetric tensor gauge theories on curved spaces
journal, November 2019
- Slagle, Kevin; Prem, Abhinav; Pretko, Michael
- Annals of Physics, Vol. 410
Fracton phases of matter
journal, February 2020
- Pretko, Michael; Chen, Xie; You, Yizhi
- International Journal of Modern Physics A, Vol. 35, Issue 06
Fractons
journal, March 2019
- Nandkishore, Rahul M.; Hermele, Michael
- Annual Review of Condensed Matter Physics, Vol. 10, Issue 1
Generalized electromagnetism of subdimensional particles: A spin liquid story
journal, July 2017
- Pretko, Michael
- Physical Review B, Vol. 96, Issue 3
Crystal-to-fracton tensor gauge theory dualities
journal, October 2019
- Pretko, Michael; Zhai, Zhengzheng; Radzihovsky, Leo
- Physical Review B, Vol. 100, Issue 13
Coupling a QFT to a TQFT and duality
journal, April 2014
- Kapustin, Anton; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2014, Issue 4
Resonating plaquette phases in SU(4) Heisenberg antiferromagnet
journal, April 2008
- Xu, Cenke; Wu, Congjun
- Physical Review B, Vol. 77, Issue 13
Fractonic matter in symmetry-enriched gauge theory
journal, September 2019
- Williamson, Dominic J.; Bi, Zhen; Cheng, Meng
- Physical Review B, Vol. 100, Issue 12
Chiral Topological Elasticity and Fracton Order
journal, February 2019
- Gromov, Andrey
- Physical Review Letters, Vol. 122, Issue 7
Fracton hydrodynamics
journal, July 2020
- Gromov, Andrey; Lucas, Andrew; Nandkishore, Rahul M.
- Physical Review Research, Vol. 2, Issue 3