Title
On a special type of solutions of arbitrary higher spin Dirac operators
Author
Faculty/Department
Faculty of Sciences. Biology
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
London ,
Subject
Physics
Source (journal)
Journal of physics : A : mathematical and theoretical / Institute of Physics. - London
Volume/pages
43(2010) :32 , p. 1-13
ISSN
1751-8113
1751-8121
ISI
000280037600010
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In this paper an explicit expression is determined for the elliptic higher spin Dirac operator, acting on functionsf (x) taking values in an arbitrary irreducible finite-dimensional module for the group Spin(m) characterized by a halfinteger highest weight. Also a special class of solutions of these operators is constructed, and the connection between these solutions and transvector algebras is explained.
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