Ricci-flat supertwistor spaces | Zendy

Ulf Lindström | Zendy; M. Roček | Zendy; Rikard von Unge | Zendy

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Ricci-flat supertwistor spaces

Author(s) -

Ulf Lindström,

M. Roček,

Rikard von Unge

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/01/163

Subject(s) - infinitesimal , flatness (cosmology) , mathematics , quotient , pure mathematics , ricci curvature , mathematical analysis , ricci flow , cone (formal languages) , space (punctuation) , geometry , physics , computer science , cosmology , curvature , quantum mechanics , algorithm , operating system

We show that supertwistor spaces constructed as a Kahler quotient of ahyperkahler cone (HKC) with equal numbers of bosonic and fermionic coordinatesare Ricci-flat, and hence, Calabi-Yau. We study deformations of thesupertwistor space induced from deformations of the HKC. We also discussgeneral infinitesimal deformations that preserve Ricci-flatness.Comment: 13 pages, references and comments adde

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