Symplectic twistor operator and its solution space on ${\mathbb R}^2$

Marie Dostalova; Petr Somberg

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arXiv · 1301.2682

Symplectic twistor operator and its solution space on ${\mathbb R}^2$

Marie Dostalova·Petr Somberg

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Abstract

We introduce the symplectic twistor operator $T_s$ 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 ${\mathbb R}^2$. Our analysis is based on the techniques of metaplectic Howe duality.

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Marie Dostalova, Petr Somberg. 2013-01-12. Symplectic twistor operator and its solution space on ${\mathbb R}^2$. https://arxiv.org/abs/1301.2682

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