Uses of Sigma Models

Author: Ulf Lindström

Preprint number: UUITP-08/18

Abstract: This is a brief review of some of the uses of nonlinear sigma models. After a short general discussion touching on point particles, strings and condensed matter systems, focus is shifted to sigma models as probes of target space geometries. The relation of supersymmetric non-linear sigma models to Kähler, hyperkähler, hyperkähler with torsion and generalised Kähler geometries is described.