Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-10-07
Phys.Rev.D77:025017,2008
Physics
High Energy Physics
High Energy Physics - Theory
21 pages; refs added, version accepted for publication in Physical Review D
Scientific paper
10.1103/PhysRevD.77.025017
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.
Horváthy Peter A.
Plyushchay Mikhail S.
Valenzuela Mauricio
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