Covariant Fractons and Weitzenböck Torsion

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1. Verfasser: Rovere, Davide
Format: Preprint
Veröffentlicht: 2025
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author Rovere, Davide
author_facet Rovere, Davide
contents The relation between covariant fracton gauge theory and Moller-Hayashi-Shirafuji theory of gravity is investigated. The former is the gauge theory of a rank-two symmetric tensor with gauge symmetry given by the double derivative of a scalar parameter; the latter is the most general theory, whose action is quadratic in the Weitzenböck torsion. We show that the solutions of covariant fracton gauge theory describe a subsector of the space of solutions of Moller-Hayashi-Shirafuji theory, providing a new insight in the relation between covariant fractons and gravity, and elucidating the meaning of covariant fracton theory as a new type of gauge theory.
format Preprint
id arxiv_https___arxiv_org_abs_2505_21022
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Covariant Fractons and Weitzenböck Torsion
Rovere, Davide
High Energy Physics - Theory
The relation between covariant fracton gauge theory and Moller-Hayashi-Shirafuji theory of gravity is investigated. The former is the gauge theory of a rank-two symmetric tensor with gauge symmetry given by the double derivative of a scalar parameter; the latter is the most general theory, whose action is quadratic in the Weitzenböck torsion. We show that the solutions of covariant fracton gauge theory describe a subsector of the space of solutions of Moller-Hayashi-Shirafuji theory, providing a new insight in the relation between covariant fractons and gravity, and elucidating the meaning of covariant fracton theory as a new type of gauge theory.
title Covariant Fractons and Weitzenböck Torsion
topic High Energy Physics - Theory
url https://arxiv.org/abs/2505.21022