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arxiv: 0906.2741 · v1 · submitted 2009-06-15 · ✦ hep-th · math.DG

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Geometry of the N=2 supersymmetric sigma model with Euclidean worldsheet

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classification ✦ hep-th math.DG
keywords geometryeuclideanmodelsigmasignaturesupersymmetricactionarises
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We investigate the target space geometry of supersymmetric sigma models in two dimensions with Euclidean signature, and the conditions for N=2 supersymmetry. For a real action, the geometry for the N=2 model is not the generalized Kahler geometry that arises for Lorentzian signature, but is an interesting modification of this which is not a complex geometry.

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