Five-dimensional N = 1 AdS superspace: Geometry, off-shell multiplets and dynamics

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dc.creatorKuzenko, Sergei M.
dc.creatorTartaglino-Mazzucchelli, Gabriele
dc.date2007-04-10
dc.date2007-05-25
dc.date.accessioned2026-07-07T10:59:28Z
dc.date.available2026-07-07T10:59:28Z
dc.descriptionAs 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.
dc.description50 pages, LaTeX; v2: minor changes, references added; v3: typos corrected, the presentation in subsections 6.3 and 6.5 improved
dc.identifierhttps://arxiv.org/abs/0704.1185
dc.identifierhttp://arxiv.org/abs/0704.1185
dc.identifierNucl.Phys.B785:34-73,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.06.014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187412
dc.subjectHigh Energy Physics - Theory
dc.titleFive-dimensional N = 1 AdS superspace: Geometry, off-shell multiplets and dynamics
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