Ricci-flat supertwistor spaces
High Energy Physics - Theory
2009-11-11 v2 Differential Geometry
Abstract
We show that supertwistor spaces constructed as a Kahler quotient of a hyperkahler cone (HKC) with equal numbers of bosonic and fermionic coordinates are Ricci-flat, and hence, Calabi-Yau. We study deformations of the supertwistor space induced from deformations of the HKC. We also discuss general infinitesimal deformations that preserve Ricci-flatness.
Keywords
Cite
@article{arxiv.hep-th/0509211,
title = {Ricci-flat supertwistor spaces},
author = {Ulf Lindstrom and Martin Rocek and Rikard von Unge},
journal= {arXiv preprint arXiv:hep-th/0509211},
year = {2009}
}
Comments
13 pages, references and comments added