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Ricci-flat supertwistor spaces

arXiv:hep-th/0509211 · doi:10.1088/1126-6708/2006/01/163

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.

13 pages, references and comments added