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• W3103334852 abstract "We study N=2 superconformal theories on Euclidean and Lorentzian four-manifolds with a view toward applications to holography and localization. The conditions for supersymmetry are equivalent to a set of differential constraints including a generalised conformal Killing spinor equation depending on various background fields. We solve these equations in the general case and give very explicit expressions for the auxiliary fields that we need to turn on to preserve some supersymmetry. As opposed to what has been observed for the N=1 case, the conditions for unbroken supersymmetry turn out to be almost independent of the signature of spacetime, with the exception of few degenerate cases including the topological twist. Generically, the only geometrical constraint coming from supersymmetry is the existence of a conformal Killing vector on the manifold, all other constraints determine the background auxiliary fields." @default.
• W3103334852 created "2020-11-23" @default.
• W3103334852 creator A5014625187 @default.
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• W3103334852 date "2013-10-01" @default.
• W3103334852 modified "2023-09-27" @default.
• W3103334852 title "Extended supersymmetry on curved spaces" @default.
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• W3103334852 doi "https://doi.org/10.1007/jhep10(2013)218" @default.
• W3103334852 hasPublicationYear "2013" @default.
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