Hyperkaehler metrics from projective superspace

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 brief review of how sigma models in Projective Superspace have become important tools for constructing new hyperk\"ahler metrics.

AMSclassification. 51P05, 53C26.

Keywords. Superspace, sigma models, hyperk\"ahler geometry.