## A brief review of supersymmetric non-linear sigma models and generalized complex geometry

##
*Ulf Lindstrom*

**Address.**

Department of Theoretical Physics, Uppsala University, Box 803, SE-751 08 Uppsala, Sweden

HIP-Helsinki Institute of Physics, University of Helsinki, P.O. Box 64 FIN-00014 Suomi-Finland

**E-mail. **

ulf.lindstrom@teorfys.uu.se

**Abstract.**

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 K\"ahler 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 K\"ahler geometry in terms of chiral, twisted chiral
and semi-chiral superfields; Generalized K\"ahler geometry from sigma models in the Hamiltonian formulation.