Ricci-flat supertwistor spaces

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, references and comments added

Scientific paper

10.1088/1126-6708/2006/01/163

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.

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