Exotic ℤNsymmetries, duality, and fractons in 3+1-dimensional quantum field theory

Nathan Seiberg; Shu Heng Shao

doi:10.21468/SCIPOSTPHYS.10.1.003

Exotic ℤ_Nsymmetries, duality, and fractons in 3+1-dimensional quantum field theory

Nathan Seiberg
, Shu Heng Shao

Institute for Theoretical Physics

Institute for Advanced Studies

Research output: Contribution to journal › Article › peer-review

83 Scopus citations

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.

Original language	English
Article number	003
Journal	SciPost Physics
Volume	10
Issue number	1
DOIs	https://doi.org/10.21468/SCIPOSTPHYS.10.1.003
State	Published - Jan 8 2021

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title = "Exotic ℤNsymmetries, 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.",

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AB - 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.

UR - https://www.scopus.com/pages/publications/85100293637

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Exotic ℤ_Nsymmetries, duality, and fractons in 3+1-dimensional quantum field theory

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