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An infinite supermultiplet of massive higher-spin fields

Abstract : The representation theory underlying the infinite-component relativistic wave equation written by Majorana is revisited from a modern perspective. On the one hand, the massless solutions of this equation are shown to form a supermultiplet of the superPoincar´e algebra with tensorial central charges; it can also be obtained as the infinite spin limit of massive solutions. On the other hand, the Majorana equation is generalized for any space-time dimension and for arbitrary Regge trajectories. Inspired from these results, an infinite supermultiplet of massive fields of all spins and of equal mass is constructed in four dimensions and proved to carry an irreducible representation of the orthosymplectic group OSp (1|4) and of the superPoincar´e group with tensorial charges.
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Submitted on : Tuesday, April 28, 2009 - 9:02:10 AM
Last modification on : Friday, May 8, 2020 - 1:10:30 AM

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X. Bekaert, M. Rausch de Traubenberg, M. Valenzuela. An infinite supermultiplet of massive higher-spin fields. Journal of High Energy Physics, Springer, 2009, 5, pp.118. ⟨10.1088/1126-6708/2009/05/118⟩. ⟨in2p3-00379210⟩

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