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Journal Articles Journal of High Energy Physics Year : 2012

Rigid supersymmetric theories in 4d Riemannian space

Abstract

We consider rigid supersymmetric theories in four-dimensional Riemannian spin manifolds. We build the Lagrangian directly in Euclidean signature from the outset, keeping track of potential boundary terms. We reformulate the conditions for supersymmetry as a set of conditions on the torsion classes of a suitable SU(2) or trivial G-structure. We illustrate the formalism with a number of examples including supersymmetric backgrounds with non-vanishing Weyl tensor.

Dates and versions

in2p3-00682815 , version 1 (27-03-2012)

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H. Samtleben, D. Tsimpis. Rigid supersymmetric theories in 4d Riemannian space. Journal of High Energy Physics, 2012, 1205, pp.132. ⟨10.1007/JHEP05(2012)132⟩. ⟨in2p3-00682815⟩
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