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Title
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Construction of conformally invariant higher spin operators using transvector algebras
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Author
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Abstract
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| 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. |
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Language
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English
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Source (journal)
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Journal of mathematical physics. - New York, N.Y.
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Publication
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New York, N.Y.
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2014
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ISSN
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0022-2488
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DOI
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10.1063/1.4898772
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Volume/pages
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55
:10
(2014)
, 15 p.
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Article Reference
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101703
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ISI
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000344589900008
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Medium
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E-only publicatie
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Full text (Publisher's DOI)
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