Generalized Symmetries of Massless Free Fields on Minkowski Space
A complete and explicit classification of generalized, or local, symmetries of massless free fields of spin s ≥ 1/2 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 obtaine...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2008 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2008
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149003 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Generalized Symmetries of Massless Free Fields on Minkowski Space / J. Pohjanpelto, S.C. Anco // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 20 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862688399828189184 |
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| author | Pohjanpelto, J. Anco, S.C. |
| author_facet | Pohjanpelto, J. Anco, S.C. |
| citation_txt | Generalized Symmetries of Massless Free Fields on Minkowski Space / J. Pohjanpelto, S.C. Anco // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 20 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | A complete and explicit classification of generalized, or local, symmetries of massless free fields of spin s ≥ 1/2 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.
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| first_indexed | 2025-12-07T16:08:58Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149003 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:08:58Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Pohjanpelto, J. Anco, S.C. 2019-02-19T12:53:38Z 2019-02-19T12:53:38Z 2008 Generalized Symmetries of Massless Free Fields on Minkowski Space / J. Pohjanpelto, S.C. Anco // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 20 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 58J70; 70S10 https://nasplib.isofts.kiev.ua/handle/123456789/149003 A complete and explicit classification of generalized, or local, symmetries of massless free fields of spin s ≥ 1/2 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. This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). The research of the first author is supported in part by the NSF Grants DMS 04–53304 and OCE 06–21134, and that of the second author by an NSERC grant. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Generalized Symmetries of Massless Free Fields on Minkowski Space Article published earlier |
| spellingShingle | Generalized Symmetries of Massless Free Fields on Minkowski Space Pohjanpelto, J. Anco, S.C. |
| title | Generalized Symmetries of Massless Free Fields on Minkowski Space |
| title_full | Generalized Symmetries of Massless Free Fields on Minkowski Space |
| title_fullStr | Generalized Symmetries of Massless Free Fields on Minkowski Space |
| title_full_unstemmed | Generalized Symmetries of Massless Free Fields on Minkowski Space |
| title_short | Generalized Symmetries of Massless Free Fields on Minkowski Space |
| title_sort | generalized symmetries of massless free fields on minkowski space |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149003 |
| work_keys_str_mv | AT pohjanpeltoj generalizedsymmetriesofmasslessfreefieldsonminkowskispace AT ancosc generalizedsymmetriesofmasslessfreefieldsonminkowskispace |