Supersymmetric Sigma Model Geometry

doi:10.3390/sym4030474

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

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Supersymmetric Sigma Model Geometry

Ulf Lindström

Theoretical Physics, Department of Physics and Astronomy, Uppsala University, Box 516, Uppsala 75120, Sweden

Received: 6 July 2012; in revised form: 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

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MDPI and ACS Style

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

AMA Style

Lindström U. Supersymmetric Sigma Model Geometry. Symmetry. 2012; 4(3):474-506.

Chicago/Turabian Style

Lindström, Ulf. 2012. "Supersymmetric Sigma Model Geometry." Symmetry 4, no. 3: 474-506.

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