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 Rm with values in an arbitrary halfinteger 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 wellknown 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 



00222488
 
Volume/pages 



55:10(2014), 15 p.
 
Article Reference 



101703
 
ISI 



000344589900008
 
Medium 



Eonly publicatie
 
Full text (Publisher's DOI) 


  
