Supersymmetric sigma-models, twistors, and the Atiyah-Hitchin metric

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Details

ams-latex, 17 pages, 1 figure, ps-version with blackboard bold fonts available at http://www.physics.sunysb.edu/~iti/papers/ne

Scientific paper

10.1007/BF02517891

The Legendre transform and its generalizations, originally found in
supersymmetric sigma-models, are techniques that can be used to give
constructions of hyperkahler metrics. We give a twistor space interpretation to
the generalizations of the Legendre transform construction. The Atiyah-Hitchin
metric on the moduli space of two monopoles is used as a detailed example.

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