Properties of hyperkahler manifolds and their twistor spaces
High Energy Physics - Theory
2009-12-04 v3 Algebraic Geometry
Complex Variables
Differential Geometry
Abstract
We describe the relation between supersymmetric sigma-models on hyperkahler manifolds, projective superspace, and twistor space. We review the essential aspects and present a coherent picture with a number of new results.
Keywords
Cite
@article{arxiv.0807.1366,
title = {Properties of hyperkahler manifolds and their twistor spaces},
author = {Ulf Lindstrom and Martin Rocek},
journal= {arXiv preprint arXiv:0807.1366},
year = {2009}
}
Comments
26 pages. v2: Sign mistakes corrected; Kahler potential explicitly calculated in example; references added. v3: Published version--several small clarifications per referee's request