We study N = 2 superconformal theories on Euclidean and Lorentzian fourmanifolds 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

Klare, C., & Zaffaroni, A. (2013). Extended Supersymmetry on Curved Spaces. JOURNAL OF HIGH ENERGY PHYSICS, 2013(10) [10.1007/JHEP10(2013)218].

Extended Supersymmetry on Curved Spaces

KLARE, CLAUDIUS;ZAFFARONI, ALBERTO
2013

Abstract

We study N = 2 superconformal theories on Euclidean and Lorentzian fourmanifolds 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
No
Articolo in rivista - Articolo scientifico
Scientifica
Supersymmetry and Duality; Supersymmetric gauge theory; Supergravity Models
English
Klare, C., & Zaffaroni, A. (2013). Extended Supersymmetry on Curved Spaces. JOURNAL OF HIGH ENERGY PHYSICS, 2013(10) [10.1007/JHEP10(2013)218].
Klare, C; Zaffaroni, A
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/48108
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