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.
\Bibitem{PohAnc08}
\by Juha Pohjanpelto, Stephen C.~Anco
\paper Generalized Symmetries of Massless Free Fields on Minkowski Space
\jour SIGMA
\yr 2008
\vol 4
\papernumber 004
\totalpages 17
\mathnet{http://mi.mathnet.ru/sigma257}
\crossref{https://doi.org/10.3842/SIGMA.2008.004}
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\zmath{https://zbmath.org/?q=an:1133.58029}
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This publication is cited in the following 8 articles:
Aghapour S., Andersson L., Bhattacharyya R., “Helicity and Spin Conservation in Linearized Gravity”, Gen. Relativ. Gravit., 53:11 (2021), 102
Luo L., “The Integrable Property of a Higher-Order Zakharov-Shabat Hierarchy”, Appl. Math. Lett., 105 (2020), 106323
Sharapov A. Skvortsov E., “A(Infinity) Algebras From Slightly Broken Higher Spin Symmetries”, J. High Energy Phys., 2019, no. 9, 024
Barnich G., Boulanger N., Henneaux M., Julia B., Lekeu V., Ranjbar A., “Deformations of Vector-Scalar Models”, J. High Energy Phys., 2018, no. 2, 064
Barnich G. Bekaert X. Grigoriev M., “Notes on Conformal Invariance of Gauge Fields”, J. Phys. A-Math. Theor., 48:50 (2015), 505402
Dmitry S. Kaparulin, Simon L. Lyakhovich, Alexey A. Sharapov, “Lagrange anchor and characteristic symmetries of free massless fields”, SIGMA, 8 (2012), 021, 18 pp.
Xavier Bekaert, Maxim Grigoriev, “Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons”, SIGMA, 6 (2010), 038, 18 pp.
Barnich G., Troessaert C., “Duality and integrability: Electromagnetism, linearized gravity, and massless higher spin gauge fields as bi-Hamiltonian systems”, J. Math. Phys., 50:4 (2009), 042301, 7 pp.
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