Quasi-topological fractons: a 3D dipolar gauge theory

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Hauptverfasser: Bertolini, Erica, Blasi, Alberto, Maggiore, Nicola
Format: Preprint
Veröffentlicht: 2025
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author Bertolini, Erica
Blasi, Alberto
Maggiore, Nicola
author_facet Bertolini, Erica
Blasi, Alberto
Maggiore, Nicola
contents We consider the theory of a generic rank-2 tensor field in three spacetime dimensions, which involves a symmetric tensor field transforming under infinitesimal diffeomorphisms, and a vector field, whose gauge transformation depends on a local vector parameter. The gauge fixing shows a non-trivial structure, and some non-intuitive possibilities are listed. Despite the fact that the theory is not topological, the energy-momentum tensor vanishes on-shell, which justifies the quasi-topological appellation we give to this theory. We show that the theory has three degrees of freedom. Moreover we find an interesting physical interpretation, which consists in a generalized planar electromagnetism and in the emergence of two vector charges with restricted mobility. These are typical fractonic behaviours which can be related to the so called traceless scalar and vector charge theories.
format Preprint
id arxiv_https___arxiv_org_abs_2501_01944
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quasi-topological fractons: a 3D dipolar gauge theory
Bertolini, Erica
Blasi, Alberto
Maggiore, Nicola
High Energy Physics - Theory
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
General Relativity and Quantum Cosmology
We consider the theory of a generic rank-2 tensor field in three spacetime dimensions, which involves a symmetric tensor field transforming under infinitesimal diffeomorphisms, and a vector field, whose gauge transformation depends on a local vector parameter. The gauge fixing shows a non-trivial structure, and some non-intuitive possibilities are listed. Despite the fact that the theory is not topological, the energy-momentum tensor vanishes on-shell, which justifies the quasi-topological appellation we give to this theory. We show that the theory has three degrees of freedom. Moreover we find an interesting physical interpretation, which consists in a generalized planar electromagnetism and in the emergence of two vector charges with restricted mobility. These are typical fractonic behaviours which can be related to the so called traceless scalar and vector charge theories.
title Quasi-topological fractons: a 3D dipolar gauge theory
topic High Energy Physics - Theory
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2501.01944