Publication
Title
Construction of conformally invariant higher spin operators using transvector algebras
Author
Abstract
This paper deals with a systematic construction of higher spin operators, defined as conformally invariant differential operators acting on functions on flat space R-m with values in an arbitrary half-integer irreducible representation for the spin group. To be more precise, the higher spin version of the Dirac operator and associated twistor operators will be constructed as generators of a transvector algebra, hereby generalising the well-known fact that the classical Dirac operator on Rm and its symbol generate the orthosymplectic Lie superalgebra osp(1, 2). To do so, we will use the extremal projection operator and its relation to transvector algebras. In the second part of the article, the conformal invariance of the constructed higher spin operators will be proven explicitly. (C) 2014 AIP Publishing LLC.
Language
English
Source (journal)
Journal of mathematical physics. - New York, N.Y.
Publication
New York, N.Y. : 2014
ISSN
0022-2488
Volume/pages
55:10(2014), 15 p.
Article Reference
101703
ISI
000344589900008
Medium
E-only publicatie
Full text (Publisher's DOI)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 13.01.2015
Last edited 18.07.2017
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