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arxiv: 1110.4298 · v2 · pith:FG24HQ3Enew · submitted 2011-10-19 · ✦ hep-th

Comments on N = 2 supersymmetric sigma models in projective superspace

classification ✦ hep-th
keywords projectivesigmaspacesuperspacesupersymmetrictargettwo-formassociated
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For the most general off-shell N = 2 supersymmetric sigma model in projective superspace, we elaborate on its formulation in terms of N = 1 chiral superfields. A universal (model-independent) expression is obtained for the holomorphic symplectic two-form, which determines the second supersymmetry transformation. This two-form is associated with the two complex structures of the hyperkahler target space, which are complimentary to the one used to realize the target space as a Kahler manifold.

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