SYMPLECTIC TWISTOR OPERATOR AND ITS SOLUTION SPACE ON R-2

被引：1

作者：

Dostalova, Marie ^{[1
]}

Somberg, Petr ^{[1
]}

机构：

[1] Charles Univ Prague, Math Inst, Sokolovska 83, Prague 8, Karlin, Czech Republic

来源：

ARCHIVUM MATHEMATICUM | 2013年 / 49卷 / 03期

关键词：

symplectic spin geometry; metaplectic Howe duality; symplectic twistor operator; symplectic Dirac operator;

D O I：

10.5817/AM2013-3-161

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the symplectic twistor operator T-s in symplectic spin geometry of real dimension two, as a symplectic analogue of the Dolbeault operator in complex spin geometry of complex dimension 1. Based on the techniques of the metaplectic Howe duality and algebraic Weyl algebra, we compute the space of its solutions on R-2.

引用

页码：161 / 185

页数：25

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