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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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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) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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

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