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arXiv · 1301.3479

Deformations of Killing spinors on Sasakian and 3-Sasakian manifolds

Craig van Coevering
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Abstract

We consider some natural infinitesimal Einstein deformations on Sasakian and 3-Sasakian manifolds. Some of these are infinitesimal deformations of Killing spinors and further some integrate to actual Killing spinor deformations. In particular, on 3-Sasakian 7 manifolds these yield infinitesimal Einstein deformations preserving 2, 1, or none of the 3 independent Killing spinors. Toric 3-Sasakian manifolds provide non-trivial examples with integrable deformation preserving precisely 2 Killing spinors. Thus the dimension of Killing spinors is not preserved under Einstein deformations but is only upper semi-continuous.

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Craig van Coevering. 2013-01-15. Deformations of Killing spinors on Sasakian and 3-Sasakian manifolds. https://arxiv.org/abs/1301.3479

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