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

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• 作者：Sergei M. Kuzenko ; Gabriele Tartaglino-Mazzucchelli
• 关键词：Cusp anomalous dimension ; Scaling function ; Strong coupling expansion ; Bethe equations ; AdS/CFT correspondence
• 刊名：Nuclear Physics B
• 出版年：2007
• 出版时间：26 November 2007
• 年：2007
• 卷：785
• 期：1-2
• 页码：34-73
• 全文大小：433 K

文摘

As a step towards formulating projective superspace techniques for supergravity theories with eight supercharges, this work is devoted to field theory in five-dimensional anti-de Sitter superspace AdS^5|8=SU(2,2|1)/SO(4,1)×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×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 AdS^5|8 as a trivial fiber bundle with fibers isomorphic to four-dimensional Minkowski superspace.