Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions

摘要

We develop off-shell formulations for N = 1 and N = 2 anti-de Sitter supergravity theories in threespacetime dimensions that contain gauge two-forms in the auxiliary field sector. These formulations areshown to allow consistent couplings of supergravity to the Green-Schwarz superstring with N = 1 orN = 2 spacetime supersymmetry. In addition to being κ-symmetric, the Green-Schwarz superstringactions constructed are also invariant under super-Weyl transformations of the target space.We also presenta detailed study of models for spontaneously broken local supersymmetry in three dimensions obtained bycoupling the known off-shell N = 1 and N = 2 supergravity theories to nilpotent Goldstino superfields.