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"Curvepole (2,0)-theory" is a deformation of the (2,0)-theory with nonlocalinteractions. A "curvepole" is defined as a two-dimensional generalization of adipole. It is an object of fixed two-dimensional shape whose boundary is acharged curve that interacts with a two-form gauge field. Curvepole theory waspreviously only defined indirectly via M-theory. Here we propose asupersymmetric Lagrangian, constructed explicitly up to quartic terms, for an"abelian" curvepole theory, which is an interacting deformation of the free(2,0) tensor mutliplet. This theory contains fields whose quanta are curvepoles(i.e., fixed-shape strings). Supersymmetry is preserved (at least up to quarticterms) if the shape of the curvepoles is (2d) planar. This nonlocal 6d QFT mayalso serve as a UV completion for certain (local) 5d gauge theories.

Supersymmetric interactions of a six-dimensional self-dual tensor and fixed-shape second quantized strings