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 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.

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

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Cited by in corpus (10)

• On the cubic interactions of massive and partially-massless higher spins in (A)dS
• From Higher Spins to Strings: A Primer
• Supersymmetric Continuous Spin Gauge Theory
• Off-shell Supersymmetric Continuous Spin Gauge Theory
• Singletons and their maximal symmetry algebras
• Metaplectic representation and ordering (in)dependence in Vasiliev's higher spin gravity
• Majorana quanta, string scattering, curved spacetimes and the Riemann Hypothesis
• 3d conformal fields with manifest $sl(2,\mathbb{C})$
• Systematics of Higher-spin Light-front Interactions
• Quantum Theory of Half-integer Spin Free Particles from the Perspective of the Majorana Equation