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arxiv: 1803.08873 · v1 · pith:467FLP4Vnew · submitted 2018-03-23 · ✦ hep-th · math.DG

Uses of Sigma Models

classification ✦ hep-th math.DG
keywords ahlermodelssigmageometrieshyperkusesbriefcondensed
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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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