Gauge theory of disclinations on fluctuating elastic surfaces

Abstract

A variant of a gauge theory is formulated to describe disclinations on Riemannian surfaces that may change both the Gaussian (intrinsic) and mean (extrinsic) curvatures, which implies that both internal strains and a location of the surface in R^3 may vary. Besides, originally distributed disclinations are taken into account. For the flat surface, an extended variant of the Edelen-Kadic gauge theory is obtained. Within the linear scheme our model recovers the von Karman equations for membranes, with a disclination-induced source being generated by gauge fields. For a single disclination on an arbitrary elastic surface a covariant generalization of the von Karman equations is derived.

13 pages

References in corpus (4)

• Topological Defects on Fluctuating Surfaces: General Properties and the Kosterlitz-Thouless Transition
• Free Energies of Isolated 5- and 7-fold Disclinations in Hexatic Membranes
• Sine-Gordon Field Theory for the Kosterlitz-Thouless Transitions on Fluctuating Membranes
• The Kosterlitz-Thouless Transitions on Fluctuating Surface of Genus Zero

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