Gauge theory of disclinations on fluctuating elastic surfaces

A variant of a gauge theory is formulated to describe disclinations on Riem annian surfaces that may change both the Gaussian (intrinsic) and mean (ext rinsic) curvatures, which implies that both internal strains and a location of the surface in R-3 may vary. Moreover, originally distributed disclinat ions are taken into account. For the flat surface, an extended variant of t he Edelen-Kadic gauge theory is obtained. Within the linear scheme our mode l recovers the von Karman equations for membranes, with a disclination-indu ced source being generated by gauge fields. For a single disclination on an arbitrary elastic surface a covariant generalization of the von Karman equ ations is derived.