Hyperkähler metrics and supersymmetry View Full Text


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Article Info

DATE

1987-12

AUTHORS

N. J. Hitchin, A. Karlhede, U. Lindström, M. Roček

ABSTRACT

We describe two constructions of hyperkähler manifolds, one based on a Legendre transform, and one on a sympletic quotient. These constructions arose in the context of supersymmetric nonlinear σ-models, but can be described entirely geometrically. In this general setting, we attempt to clarify the relation between supersymmetry and aspects of modern differential geometry, along the way reviewing many basic and well known ideas in the hope of making them accessible to a new audience. More... »

PAGES

535-589

References to SciGraph publications

  • 1981-09. Geometrical structure and ultraviolet finiteness in the supersymmetric σ-model in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1979-10. Classification of Gravitational Instanton symmetries in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1982-02. Quaternionic Kähler manifolds in INVENTIONES MATHEMATICAE
  • 1976-01. Nonlinear gravitons and curved twistor theory in GENERAL RELATIVITY AND GRAVITATION
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01214418

    DOI

    http://dx.doi.org/10.1007/bf01214418

    DIMENSIONS

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