2007/10/31 by P. A. Horváthy, Peter A. Horvathy, Mikhail S. Plyushchay +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.77.025017
published as Phys.Rev.D77:025017,2008 · 21 pages; refs added, version accepted for publication in Physical Review D
arxiv created 2007/12/11 · openalex publication_date 2008/01/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 degrees 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-Poincar'e algebra with or without tensorial central charge.