An infinite supermultiplet of massive higher-spin fields

Details An infinite supermultiplet of massive higher-spin fields An infinite supermultiplet of massive higher-spin fields

2009-04-16

arxiv.org/abs/0904.2533v4

JHEP 0905:118,2009

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, references [30] added. To appear in JHEP

Scientific paper

10.1088/1126-6708/2009/05/118

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 superPoincare 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 superPoincare group with tensorial charges.

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