Five-dimensional N = 1 AdS superspace: Geometry, off-shell multiplets and dynamics
Abstract
As a step towards formulating projective superspace techniques for supergravity theories with eight supercharges, this work is devoted to field theory in five-dimensional N = 1 anti-de Sitter superspace AdS^{5|8} = SU(2,2|1)/SO(4,1) x U(1) which is a maximally symmetric curved background. We develop the differential geometry of AdS^{5|8} and describe its isometries in terms of Killing supervectors. Various off-shell supermultiplets in AdS^{5|8} x S^2 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 AdS^{5|8} as a trivial fiber bundle with fibers isomorophic to four-dimensional Minkowski superspace.
Cite
@article{arxiv.0704.1185,
title = {Five-dimensional N = 1 AdS superspace: Geometry, off-shell multiplets and dynamics},
author = {Sergei M. Kuzenko and Gabriele Tartaglino-Mazzucchelli},
journal= {arXiv preprint arXiv:0704.1185},
year = {2008}
}
Comments
50 pages, LaTeX; v2: minor changes, references added; v3: typos corrected, the presentation in subsections 6.3 and 6.5 improved