Hyperkaehler metrics from projective superspace
This is a brief review of how sigma models in Projective Superspace have become important tools for constructing new hyperkähler metrics.
A brief review of supersymmetric non-linear sigma models and generalized complex geometry
This is a review of the relation between supersymmetric non-linear sigma models and target space geometry. In particular, we report on the derivation of generalized Kähler geometry from sigma models with additional spinorial superfields. Some of the results reviewed are: Generalized complex geometry from sigma models in the Lagrangian formulation; Coordinatization of generalized Kähler geometry in terms of chiral, twisted chiral and semi-chiral superfields; Generalized Kähler geometry from sigma...
Sigma models with non-commuting complex structures and extended supersymmetry
We discuss additional supersymmetries for supersymmetric non-linear sigma models described by left and right semichiral superfields.
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