Superconformal symmetry and hyperKaehler manifolds with torsion
Differential Geometry
2009-11-07 v1 High Energy Physics - Theory
Abstract
The geometry arising from Michelson & Strominger's study of N=4B supersymmetric quantum mechanics with superconformal D(2,1;alpha)-symmetry is a hyperKaehler manifold with torsion (HKT) together with a special homothety. It is shown that different parameters alpha are related via changes in potentials for the HKT target spaces. For alpha not 0 or -1, we describe how each such HKT 4m-manifold M is derived from a space N of dimension 4m-4 which is quaternionic Kaehler with torsion and carries an Abelian instanton.
Keywords
Cite
@article{arxiv.math/0111276,
title = {Superconformal symmetry and hyperKaehler manifolds with torsion},
author = {Yat Sun Poon and Andrew Swann},
journal= {arXiv preprint arXiv:math/0111276},
year = {2009}
}
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16 pages