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Symmetry, Integrability and Geometry: Methods and Applications, 2008, Volume 4, 004, 17 pp.
DOI: https://doi.org/10.3842/SIGMA.2008.004 (Mi sigma257) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Generalized Symmetries of Massless Free Fields on Minkowski Space

Juha Pohjanpeltoa, Stephen C. Ancob

a Department of Mathematics, Oregon State University, Corvallis, Oregon 97331-4605, USA
b Department of Mathematics, Brock University, St. Catharines ON L2S 3A1 Canada
Full-text PDF (283 kB) Citations (8)
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DOI: https://doi.org/10.3842/SIGMA.2008.004
Abstract: A complete and explicit classification of generalized, or local, symmetries of massless free fields of spin $s\geq1/2$ is carried out. Up to equivalence, these are found to consists of the conformal symmetries and their duals, new chiral symmetries of order $2s$, and their higher-order extensions obtained by Lie differentiation with respect to conformal Killing vectors. In particular, the results yield a complete classification of generalized symmetries of the Dirac–Weyl neutrino equation, Maxwell's equations, and the linearized gravity equations.
Keywords: generalized symmetries; massless free field; spinor field.
Received: November 1, 2007; Published online January 12, 2008
Bibliographic databases:
Document Type: Article
MSC: 58J70; 70S10
Language: English
Citation: Juha Pohjanpelto, Stephen C. Anco, “Generalized Symmetries of Massless Free Fields on Minkowski Space”, SIGMA, 4 (2008), 004, 17 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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