Symmetries of curved superspace in five dimensions

Abstract

We develop a formalism to construct supersymmetric backgrounds within the superspace formulation for five-dimensional (5D) conformal supergravity given in arXiv:0802.3953. Our approach is applicable to any off-shell formulation for 5D minimal Poincare and anti-de Sitter supergravity theories realized as the Weyl multiplet coupled with two compensators. For those superspace backgrounds which obey the equations of motion for (gauged) supergravity, we naturally reproduce the supersymmetric solutions constructed a decade ago by Gauntlett et al. For certain supersymmetric backgrounds with eight supercharges, we construct a large family of off-shell supersymmetric sigma models such that the superfield Lagrangian is given in terms of the Kahler potential of a real analytic Kahler manifold.

47 pages; V2: references added, minor modifications, published version

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• Symmetries of supergravity backgrounds and supersymmetric field theory
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• Rigid Supersymmetry from Conformal Supergravity in Five Dimensions
• Supersymmetric Field Theories on AdS_p x S^q
• Maximally supersymmetric solutions of $R^2$ supergravity
• Symmetries of $\mathcal{N}=(1,0)$ supergravity backgrounds in six dimensions
• Minimal $\mathcal{N}=4$ topologically massive supergravity
• Spinorial geometry, off-shell Killing spinor identities and higher derivative 5D supergravities
• $\mathcal{N}=2$ dilaton-Weyl multiplets in 5D and Nishino-Rajpoot supergravity off-shell
• On rigid supersymmetry and notions of holomorphy in five dimensions
• Supersymmetric Yang-Mills theory on conformal supergravity backgrounds in ten dimensions
• Submaximal conformal symmetry superalgebras for Lorentzian manifolds of low dimension
• The conformal supercurrents in diverse dimensions and conserved superconformal currents
• Holographic origin of $a$-maximization and higher-derivative AdS${}_5$/CFT${}_4$