2007/04/30 by Sergei M. Kuzenko, Gabriele Tartaglino-Mazzucchelli, Gabriele Tartaglino‐Mazzucchelli · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2007.06.014
published as Nucl.Phys.B785:34-73,2007 · 50 pages, LaTeX; v2: minor changes, references added; v3: typos corrected, the presentation in subsections 6.3 and 6.5 improved
arxiv created 2007/05/25 · openalex publication_date 2007/06/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 AdS5|8 = SU(2,2|1)/SO(4,1) x U(1) which is a maximally symmetric curved background. We develop the differential geometry of AdS5|8 and describe its isometries in terms of Killing supervectors. Various off-shell supermultiplets in AdS5|8 x S2 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 AdS5|8 as a trivial fiber bundle with fibers isomorophic to four-dimensional Minkowski superspace.