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Generalized Symmetries of Massless Free Fields on Minkowski Space
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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Generalized Symmetries of Massless Free Fields on Minkowski Space
Інший ID:
2000 Mathematics Subject Classification: 58J70; 70S10
Посилання:
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.
Підтримка:
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.
Дата:
2008
Переглядів:
494
Завантажень:
268
Анотація:
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.
