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Generalized electromagnetism of subdimensional particles: A spin liquid story

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Author(s)
Pretko, Michael
Date Issued
July 2017
Journal
Physical Review B
Publisher
American Physical Society
Citation
Pretko, Michael. “Generalized Electromagnetism of Subdimensional Particles: A Spin Liquid Story.” Physical Review B 96.3 (2017): n. pag. © 2017 American Physical Society
Version
Final published version
Abstract
It has recently been shown that there exists a class of stable gapless spin liquids in 3+1 dimensions described by higher-rank tensor U(1) gauge fields, giving rise to an emergent tensor electromagnetism. The tensor gauge field of these theories couples naturally to subdimensional particles (such as fractons), which are restricted by gauge invariance to move only along lower-dimensional subspaces of the system. Here we work out some of the basic generalized electromagnetic properties of subdimensional particles coupled to tensor electromagnetism, such as generalized electrostatic fields, potential formulations, Lorentz forces, Maxwell equations, and Biot-Savart laws. Some concepts from conventional electromagnetism will carry over directly, while others require significant modification.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/110699
DOI of Published Version
https://doi.org/10.1103/PhysRevB.96.035119
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