Covariant interacting fractons

Erica Bertolini; Hyungrok Kim

doi:10.1103/PhysRevD.111.025006

Covariant interacting fractons

Erica Bertolini, Hyungrok Kim

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Abstract

We show that there exists a natural analog of the Yang-Mills equations using the Frölicher-Nijenhuis bracketbetweenvector-valueddifferentialforms.Thegaugefield isarank-2tensor,andwhenoneconstrains it to be symmetric, then the system exhibits fractonic behaviors. In the linearized limit, the constrained equations of motion reduce to those of the covariant fracton model [Phys. Rev. D 106, 125008 (2022), Phys. Lett. B 833, 137304 (2022), and Notes from the bulk, Ph.D. thesis, Universit` a di Genova, 2024.].

Original language	English
Article number	025006
Pages (from-to)	1-6
Number of pages	6
Journal	Physical Review D
Volume	111
Early online date	6 Jan 2025
DOIs	https://doi.org/10.1103/PhysRevD.111.025006
Publication status	E-pub ahead of print - 6 Jan 2025

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© 2025 The Author(s). Published by the American Physical Society. This is an open access article distributed under the Creative Commons Attribution License (CC BY), https://creativecommons.org/licenses/by/4.0/
Final published version, 172 KBLicence: CC BY

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AU - Kim, Hyungrok

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N2 - We show that there exists a natural analog of the Yang-Mills equations using the Frölicher-Nijenhuis bracketbetweenvector-valueddifferentialforms.Thegaugefield isarank-2tensor,andwhenoneconstrains it to be symmetric, then the system exhibits fractonic behaviors. In the linearized limit, the constrained equations of motion reduce to those of the covariant fracton model [Phys. Rev. D 106, 125008 (2022), Phys. Lett. B 833, 137304 (2022), and Notes from the bulk, Ph.D. thesis, Universit` a di Genova, 2024.].

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Covariant interacting fractons

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