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Symmetry 2012, 4(3), 474-506; doi:10.3390/sym4030474

Supersymmetric Sigma Model Geometry

Theoretical Physics, Department of Physics and Astronomy, Uppsala University, Box 516, Uppsala 75120, Sweden
Received: 6 July 2012 / Revised: 23 July 2012 / Accepted: 2 August 2012 / Published: 23 August 2012
(This article belongs to the Special Issue Supersymmetry)
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Abstract

This is a review of how sigma models formulated in Superspace have become important tools for understanding geometry. Topics included are: The (hyper)kähler reduction; projective superspace; the generalized Legendre construction; generalized Kähler geometry and constructions of hyperkähler metrics on Hermitian symmetric spaces.
Keywords: supersymmetry; complex geometry; sigma models supersymmetry; complex geometry; sigma models
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Lindström, U. Supersymmetric Sigma Model Geometry. Symmetry 2012, 4, 474-506.

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