Symmetric analogues of Rarita-Schwinger equations

被引：40

作者：

Bures, J

Sommen, F

Soucek, V

Van Lancker, P

机构：

[1] Charles Univ, Inst Math, Prague 19675, Czech Republic

[2] State Univ Ghent, Dept Math Anal, B-9000 Ghent, Belgium

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2002年 / 21卷 / 03期

关键词：

conformally invariant first order operators; twisted Dirac operator; spherical monogenics;

D O I：

10.1023/A:1014923601006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper a generalization of the classical Rarita-Schwinger equations for spin 3/2 fields to the case of spin fields with values in irreducible representation spaces with weight k+1/2 is given. It corresponds to the study of serie of first order conformal invariant operators, which are constructed from twisted Dirac operators. The representation character of polynomial solutions of the equations on flat space and their relations are described in details.

引用

页码：215 / 240

页数：26

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