Uses of Sigma Models

Published 23 Mar 2018 in hep-th and math.DG | (1803.08873v1)

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 K\"ahler, hyperk\"ahler, hyperk\"ahler with torsion and generalised K\"ahler geometries is described.

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Ulf Lindström

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