Linear differential equations for a fractional spin field
- 1 November 1994
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 35 (11), 6049-6057
- https://doi.org/10.1063/1.530727
Abstract
The vector system of linear differential equations for a field with arbitrary fractional spin is proposed using infinite-dimensional half-bounded unitary representations of the $\overline{SL(2,R)}$ group. In the case of $(2j+1)$-dimensional nonunitary representations of that group, $0<2j\in Z$, they are transformed into equations for spin-$j$ fields. A local gauge symmetry associated to the vector system of equations is identified and the simplest gauge invariant field action, leading to these equations, is constructed.Comment: 15 pages, LATEX, revised version of the preprint DFTUZ/92/24 (to be published in J. Math. Phys.
Keywords
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