Bosonized supersymmetry from the Majorana-Dirac-Staunton theory and massive higher-spin fields

Abstract

We propose a (3+1)D linear set of covariant vector equations, which unify the spin 0 ``new Dirac equation'' with its spin 1/2 counterpart, proposed by Staunton. Our equations describe a spin (0,1/2) supermultiplet with different numbers of degrees of freedom in the bosonic and fermionic sectors. The translation-invariant spin deegres of freedom are carried by two copies of the Heisenberg algebra. This allows us to realize space-time supersymmetry in a bosonized form. The grading structure is provided by an internal reflection operator. Then the construction is generalized by means of the Majorana equation to a supersymmetric theory of massive higher-spin particles. The resulting theory is characterized by a nonlinear symmetry superalgebra, that, in the large-spin limit, reduces to the super-Poincare algebra with or without tensorial central charge.

21 pages; refs added, version accepted for publication in Physical Review D

References in corpus (3)

• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• Bitwistor formulation of massive spinning particle
• Generalized Twistor Transform And Dualities, With A New Description of Particles With Spin, Beyond Free and Massless

Cited by in corpus (2)

• Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry
• Geometric Lagrangians for massive higher-spin fields