Massless field equations for spin 3/2 in dimension 6

被引：0
|
作者：
Lavicka, R. [1 ]
Soucek, V. [1 ]
Wang, W. [2 ]
机构：
[1] Charles Univ Prague, Fac Math & Phys, Sokolovska 83, Prague 18675, Czech Republic
[2] Zhejiang Univ, Dept Math, Zhejiang 310027, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2024年 / 206卷
关键词：
Massless fields ofspin 3/2; Stein-Weiss equations; Fischer decomposition; Howe duality; OPERATORS; HOMOLOGY;
D O I：
10.1016/j.geomphys.2024.105341
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Main topic of the paper is a study of properties of massless fields of spin 3/2. A lot of information is available already for massless fields in dimension 4. Here, we concentrate on dimension 6 and we are using the fact that the group SL(4, C ) is isomorphic with the group Spin(6, C ) . It makes it possible to use tensor formalism for massless fields. Main problems treated in the paper are a description of fields which need to be considered in the spin 3/2 case, a suitable choice of equations they should satisfy, irreducibility of homogeneous solutions of massless field equations, the Fischer decomposition and the Howe duality for such fields. (c) 2024 Published by Elsevier B.V.
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页数：29
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