On duality between Cosserat elasticity and fractons

On duality between Cosserat elasticity and fractons

We present a dual formulation of the Cosserat theory of elasticity. In this theory a local element of an elastic body is described in terms of local displacement and local orientation. Upon the duality transformation these degrees of freedom map onto a coupled theory of a vector-valued one-form g...

Full description

Bibliographic Details
Main Author: Andrey Gromov, Piotr Surówka
Format: Article
Language:English
Published: SciPost 2020-04-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.8.4.065
id doaj-5a81ae6abc264b0884d3f60452d9c6e2
record_format Article
spelling doaj-5a81ae6abc264b0884d3f60452d9c6e22020-11-25T03:32:39ZengSciPostSciPost Physics2542-46532020-04-018406510.21468/SciPostPhys.8.4.065On duality between Cosserat elasticity and fractonsAndrey Gromov, Piotr SurówkaWe present a dual formulation of the Cosserat theory of elasticity. In this theory a local element of an elastic body is described in terms of local displacement and local orientation. Upon the duality transformation these degrees of freedom map onto a coupled theory of a vector-valued one-form gauge field and an ordinary $U(1)$ gauge field. We discuss the degrees of freedom in the corresponding gauge theories, the defect matter and coupling to the curved space.https://scipost.org/SciPostPhys.8.4.065
collection DOAJ
language English
format Article
sources DOAJ
author Andrey Gromov, Piotr Surówka
spellingShingle Andrey Gromov, Piotr Surówka
On duality between Cosserat elasticity and fractons
SciPost Physics
author_facet Andrey Gromov, Piotr Surówka
author_sort Andrey Gromov, Piotr Surówka
title On duality between Cosserat elasticity and fractons
title_short On duality between Cosserat elasticity and fractons
title_full On duality between Cosserat elasticity and fractons
title_fullStr On duality between Cosserat elasticity and fractons
title_full_unstemmed On duality between Cosserat elasticity and fractons
title_sort on duality between cosserat elasticity and fractons
publisher SciPost
series SciPost Physics
issn 2542-4653
publishDate 2020-04-01
description We present a dual formulation of the Cosserat theory of elasticity. In this theory a local element of an elastic body is described in terms of local displacement and local orientation. Upon the duality transformation these degrees of freedom map onto a coupled theory of a vector-valued one-form gauge field and an ordinary $U(1)$ gauge field. We discuss the degrees of freedom in the corresponding gauge theories, the defect matter and coupling to the curved space.
url https://scipost.org/SciPostPhys.8.4.065
work_keys_str_mv AT andreygromovpiotrsurowka ondualitybetweencosseratelasticityandfractons
_version_ 1724566855837810688

Similar Items