On Calabi-Yau supermanifolds

Details On Calabi-Yau supermanifolds On Calabi-Yau supermanifolds

2004-08-25

arxiv.org/abs/hep-th/0408188v1

Adv.Theor.Math.Phys. 9 (2005) 315-320

Physics

High Energy Physics

High Energy Physics - Theory

4 pages

Scientific paper

We prove that a Kahler supermetric on a supermanifold with one complex
fermionic dimension admits a super Ricci-flat supermetric if and only if the
bosonic metric has vanishing scalar curvature. As a corollary, it follows that
Yau's theorem does not hold for supermanifolds.

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