Linear Differential Equations for a Fractional Spin Field

Details Linear Differential Equations for a Fractional Spin Field Linear Differential Equations for a Fractional Spin Field

1994-05-31

arxiv.org/abs/hep-th/9405193v1

J.Math.Phys. 35 (1994) 6049-6057

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LATEX, revised version of the preprint DFTUZ/92/24 (to be published in J. Math. Phys.)

Scientific paper

10.1063/1.530727

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.

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