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Title: More exotic field theories in 3+1 dimensions

Abstract

We continue the exploration of nonstandard continuum field theories related to fractons in 3+1 dimensions. Our theories exhibit exotic global and gauge symmetries, defects with restricted mobility, and interesting dualities. Depending on the model, the defects are the probe limits of either fractonic particles, strings, or strips. One of our models is the continuum limit of the plaquette Ising lattice model, which features an important role in the construction of the X-cube model.

Authors:
 [1];  [1];  [2];  [2]
  1. Princeton University
  2. Institute for Advanced Study, Princeton University
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1714392
Grant/Contract Number:  
SC0009988
Resource Type:
Published Article
Journal Name:
SciPost Physics Proceedings
Additional Journal Information:
Journal Name: SciPost Physics Proceedings Journal Volume: 9 Journal Issue: 5; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Netherlands
Language:
English

Citation Formats

Gorantla, Pranay, Lam, Ho Tat, Seiberg, Nathan, and Shao, Shu-Heng. More exotic field theories in 3+1 dimensions. Netherlands: N. p., 2020. Web. doi:10.21468/SciPostPhys.9.5.073.
Gorantla, Pranay, Lam, Ho Tat, Seiberg, Nathan, & Shao, Shu-Heng. More exotic field theories in 3+1 dimensions. Netherlands. https://doi.org/10.21468/SciPostPhys.9.5.073
Gorantla, Pranay, Lam, Ho Tat, Seiberg, Nathan, and Shao, Shu-Heng. Mon . "More exotic field theories in 3+1 dimensions". Netherlands. https://doi.org/10.21468/SciPostPhys.9.5.073.
@article{osti_1714392,
title = {More exotic field theories in 3+1 dimensions},
author = {Gorantla, Pranay and Lam, Ho Tat and Seiberg, Nathan and Shao, Shu-Heng},
abstractNote = {We continue the exploration of nonstandard continuum field theories related to fractons in 3+1 dimensions. Our theories exhibit exotic global and gauge symmetries, defects with restricted mobility, and interesting dualities. Depending on the model, the defects are the probe limits of either fractonic particles, strings, or strips. One of our models is the continuum limit of the plaquette Ising lattice model, which features an important role in the construction of the X-cube model.},
doi = {10.21468/SciPostPhys.9.5.073},
journal = {SciPost Physics Proceedings},
number = 5,
volume = 9,
place = {Netherlands},
year = {Mon Nov 16 00:00:00 EST 2020},
month = {Mon Nov 16 00:00:00 EST 2020}
}

Works referenced in this record:

Quantum field theory of X-cube fracton topological order and robust degeneracy from geometry
journal, November 2017


Exotic $U(1)$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory
journal, January 2020


Field theories with a vector global symmetry
journal, January 2020


Fracton topological order, generalized lattice gauge theory, and duality
journal, December 2016


Fracton phases of matter
journal, February 2020

  • Pretko, Michael; Chen, Xie; You, Yizhi
  • International Journal of Modern Physics A, Vol. 35, Issue 06
  • DOI: 10.1142/S0217751X20300033

On Zamolodchikov's solution of the tetrahedron equations
journal, June 1983

  • Baxter, R. J.
  • Communications in Mathematical Physics, Vol. 88, Issue 2
  • DOI: 10.1007/BF01209476

Plaquette Ising models, degeneracy and scaling
journal, April 2017

  • Johnston, Desmond A.; Mueller, Marco; Janke, Wolfhard
  • The European Physical Journal Special Topics, Vol. 226, Issue 4
  • DOI: 10.1140/epjst/e2016-60329-4

Fractons
journal, March 2019


D-brane charges in five-brane backgrounds
journal, October 2001


Towards Classification of Fracton Phases: The Multipole Algebra
journal, August 2019


Coupling a QFT to a TQFT and duality
journal, April 2014


Symmetries and strings in field theory and gravity
journal, April 2011


Emergent fractons and algebraic quantum liquid from plaquette melting transitions
journal, February 2020