On duality between Cosserat elasticity and fractons

Gromov, Andrey; Surówka, Piotr

doi:10.21468/SciPostPhys.8.4.065

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On duality between Cosserat elasticity and fractons

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Surówka, Piotr
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Gromov, A., & Surówka, P. (2020). On duality between Cosserat elasticity and fractons. SciPost Physics, 8(4): 065. doi:10.21468/SciPostPhys.8.4.065.

Cite as: https://hdl.handle.net/21.11116/0000-0006-ABEF-D

Abstract

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 U (1) vector-valued one-form gauge field and an ordinary U (1) gauge field. We discuss the degrees of freedom in the corresponding gauge theories, relation to symmetric tensor gauge theories, the defect matter and coupling to the curved space.