Rigid 4D N=2 supersymmetric backgrounds and actions

Abstract

We classify all N=2 rigid supersymmetric backgrounds in four dimensions with both Lorentzian and Euclidean signature that preserve eight real supercharges, up to discrete identifications. Among the backgrounds we find specific warpings of S^3 x R and AdS_3 x R, AdS_2 x S^2 and H^2 x S^2 with generic radii, and some more exotic geometries. We provide the generic two-derivative rigid vector and hypermultiplet actions and analyze the conditions imposed on the special Kahler and hyperkahler target spaces.

50 + 17 pages; v2: minor corrections, published version

References in corpus (6)

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• On conformal supergravity and projective superspace
• Supersymmetric Spacetimes from Curved Superspace
• Partition functions for equivariantly twisted $\mathcal{N}=2$ gauge theories on toric Kähler manifolds
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• Killing superalgebras for Lorentzian four-manifolds
• N=2 supersymmetric gauge theory on connected sums of $S^2\times S^2$
• New nilpotent $\mathcal{N}=2$ superfields
• T-Duality of Green-Schwarz Superstrings on AdS(d) x S(d) x M(10-2d)
• $\mathcal{N}=1$ Liouville SCFT in Four Dimensions
• Cohomological Localization of $\mathcal{N}=2$ Gauge Theories with Matter
• Supersymmetric Field Theories on AdS_p x S^q
• Supersymmetric branes on curved spaces and fluxes
• Symmetries of $\mathcal{N}=(1,0)$ supergravity backgrounds in six dimensions
• Maximally supersymmetric solutions of $R^2$ supergravity
• A Landscape of Field Theories
• S-duality and supersymmetry on curved manifolds
• Real and pseudoreal forms of D=4 complex Euclidean (super)algebras and super-Poincare / super-Euclidean r-matrices
• Supersymmetric Yang-Mills theory on conformal supergravity backgrounds in ten dimensions
• Nonabelian Probes In Holography