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arXiv 2013-01-12 0 views

Symplectic twistor operator and its solution space on R²

Dostalova, Marie · Somberg, Petr

Original · EN

We introduce the symplectic twistor operator Tₛ in symplectic spin geometry, as a symplectic analogue of the twistor operator in Riemannian spin geometry. We focus on the real dimension 2 and compute the space of its solutions on R². Our analysis is based on the techniques of metaplectic Howe duality.

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