Ricci-flat supertwistor spaces
Ulf Lindstrom, Martin Rocek, Rikard von Unge

TL;DR
This paper demonstrates that supertwistor spaces derived from hyperkahler cones with balanced bosonic and fermionic coordinates are Ricci-flat, establishing their Calabi-Yau property, and explores their deformations.
Contribution
It introduces a method to construct Ricci-flat supertwistor spaces via Kahler quotients of hyperkahler cones and analyzes their deformation space.
Findings
Supertwistor spaces are Ricci-flat and Calabi-Yau.
Deformations of the underlying hyperkahler cones induce deformations of supertwistor spaces.
Certain infinitesimal deformations preserve Ricci-flatness.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
