Symplectic twistor operator and its solution space on ${\mathbb R}^2$
Analysis of PDEs
2016-01-06 v3 Differential Geometry
Representation Theory
Abstract
We introduce the symplectic twistor operator 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 . Our analysis is based on the techniques of metaplectic Howe duality.
Cite
@article{arxiv.1301.2682,
title = {Symplectic twistor operator and its solution space on ${\mathbb R}^2$},
author = {Marie Dostalova and Petr Somberg},
journal= {arXiv preprint arXiv:1301.2682},
year = {2016}
}