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Ricci-flat supertwistor spaces

Ulf Lindstrom·Martin Rocek·Rikard von Unge
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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.

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Ulf Lindstrom, Martin Rocek, Rikard von Unge. 2006-01-19. Ricci-flat supertwistor spaces. https://doi.org/10.1088/1126-6708%2F2006%2F01%2F163

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