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- W2155446852 abstract "Let $(M,omega)$ be a symplectic manifold admitting a metaplectic structure (a symplectic analogue of the Riemannian spin structure) and a torsion-free symplectic connection $nabla.$ Symplectic Killing spinor fields for this structure are sections of the symplectic spinor bundle satisfying a certain first order partial differential equation and they are the main topic of this paper. We derive a necessary condition satisfied by a symplectic Killing spinor field. The advantage of this condition consists in the fact that it is expressed by a zeroth order operator. This condition helps us substantionally to compute the symplectic Killing spinor fields for the standard symplectic vector spaces and the round sphere $S^2$ equipped with the volume form of the round metric." @default.
- W2155446852 created "2016-06-24" @default.
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- W2155446852 date "2010-04-25" @default.
- W2155446852 modified "2023-09-27" @default.
- W2155446852 title "Symplectic Killing spinors" @default.
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