Supersymmetric sigma-models, twistors, and the Atiyah-Hitchin metric
High Energy Physics - Theory
2009-10-28 v2 dg-ga
Differential Geometry
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.
Keywords
Cite
@article{arxiv.hep-th/9512075,
title = {Supersymmetric sigma-models, twistors, and the Atiyah-Hitchin metric},
author = {I. T. Ivanov and M. Rocek},
journal= {arXiv preprint arXiv:hep-th/9512075},
year = {2009}
}
Comments
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