N=2 supersymmetric sigma-models in AdS

Abstract

We construct the most general N=2 supersymmetric nonlinear sigma-model in four-dimensional anti-de Sitter (AdS) space in terms of N=1 chiral superfields. The target space is shown to be a non-compact hyperkahler manifold restricted to possess a special Killing vector field. A remarkable property of the sigma-model constructed is that the algebra of OSp(2|4) transformations is closed off the mass shell.

20 pages; v4 elaborated discussion in sections 3 and 5, typos corrected, version to appear in PLB; v5 typos corrected in eq (4.6)

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• Rigid 4D N=2 supersymmetric backgrounds and actions
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• Extended supersymmetric sigma models in AdS_4 from projective superspace
• Symmetries of supergravity backgrounds and supersymmetric field theory
• Three form potential in (special) minimal supergravity superspace and supermembrane supercurrent
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• The Real Anatomy of Complex Linear Superfields
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• Curvature Couplings in $\mathcal{N}=(2,2)$ Nonlinear Sigma Models on $S^2$
• Isometries, gaugings and N=2 supergravity decoupling
• $\mathcal{N}=2$ AdS hypermultiplets in harmonic superspace
• Self-dual supersymmetric nonlinear sigma models
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• Higher-spin gauge models with (1,1) supersymmetry in AdS${}_3$: Reduction to (1,0) superspace
• Topics in 3D N=2 AdS supergravity in superspace
• Twisting D(2,1; α) Superspace