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Rigid supersymmetric theories in 4d Riemannian space

H. Samtleben 1 D. Tsimpis 2
2 Théorie
IP2I Lyon - Institut de Physique des 2 Infinis de Lyon
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.
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http://hal.in2p3.fr/in2p3-00682815
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Submitted on : Tuesday, March 27, 2012 - 8:30:57 AM
Last modification on : Thursday, February 6, 2020 - 4:28:10 PM

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

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