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

Abstract

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.

ams-latex, 17 pages, 1 figure, ps-version with blackboard bold fonts available at http://www.physics.sunysb.edu/~iti/papers/new/index.html, in the corrected version non-essential typos in three formulas are removed

References in corpus (1)

• The Moduli Space Metric for Well Separated BPS Monoples

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