1994/05/31 by J. L. Cortes, M. S. Plyushchay · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1063/1.530727
published as J.Math.Phys. 35 (1994) 6049-6057 · 15 pages, LATEX, revised version of the preprint DFTUZ/92/24 (to be published in J. Math. Phys.)
arxiv created 1994/05/31 · arxiv updated 2009/11/30
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 SL(2,R) group. In the case of (2j+1)-dimensional nonunitary representations of that group, 0<2j∈ 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.