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...
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| Format: | Article |
| Language: | English |
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SciPost
2020-04-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.8.4.065 |
| Summary: | 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. |
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| ISSN: | 2542-4653 |