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Supersymmetric Sigma Model geometry

Research paper by Ulf Lindström

Indexed on: 05 Jul '12Published on: 05 Jul '12Published in: High Energy Physics - Theory



Abstract

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.