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arXiv · hep-th/9405193

Linear Differential Equations for a Fractional Spin Field

J. L. Cortes·M. S. Plyushchay
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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.

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J. L. Cortes, M. S. Plyushchay. 1994-05-31. Linear Differential Equations for a Fractional Spin Field. https://doi.org/10.1063/1.530727

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