English

Rigid supersymmetric theories in 4d Riemannian space

High Energy Physics - Theory 2015-06-04 v1

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.

Keywords

Cite

@article{arxiv.1203.3420,
  title  = {Rigid supersymmetric theories in 4d Riemannian space},
  author = {Henning Samtleben and Dimitrios Tsimpis},
  journal= {arXiv preprint arXiv:1203.3420},
  year   = {2015}
}

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26 pages