Five-dimensional image AdS superspace: Geometry, off-shell multiplets and dynamics Original Research Article

As a step towards formulating projective superspace techniques for supergravity theories with eight supercharges, this work is devoted to field theory in five-dimensional image anti-de Sitter superspace image which is a maximally symmetric curved background. We develop the differential geometry of image and describe its isometries in terms of Killing supervectors. Various off-shell supermultiplets in image are defined, and supersymmetric actions are constructed both in harmonic and projective superspace approaches. Several families of supersymmetric theories are presented including nonlinear sigma-models, Chern–Simons theories and vector–tensor dynamical systems. Using a suitable coset representative, we make use of the coset construction to develop an explicit realization for one half of the superspace image as a trivial fiber bundle with fibers isomorphic to four-dimensional Minkowski superspace.