Ricci-flat supertwistor spaces

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

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• Self-Dual Supergravity and Twistor Theory
• Matrix Models and D-branes in Twistor String Theory
• Hidden Symmetries and Integrable Hierarchy of the N=4 Supersymmetric Yang-Mills Equations
• Flux Vacua and Supermanifolds
• Super Calabi-Yau's and Special Lagrangians
• Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory