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arxiv: 1207.1241 · v1 · pith:BPSO4UCLnew · submitted 2012-07-05 · ✦ hep-th · math.DG

Supersymmetric Sigma Model geometry

classification ✦ hep-th math.DG
keywords ahlergeometrygeneralizedsigmasuperspacebecomeconstructionconstructions
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This is a review of how sigma models formulated in Superspace have become important tools for understanding geometry. Topics included are: The (hyper)k\"ahler reduction; projective superspace; the generalized Legendre construction; generalized K\"ahler geometry and constructions of hyperk\"ahler metrics on Hermitean symmetric spaces.

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