Free Relativistic Anyons with Canonical Spin Algebra
D. Dalmazi, A. de Souza Dutra
Abstract
We discuss a relativistic free particle with fractional spin in 2+1 dimensions, where the dual spin components satisfy the canonical angular momentum algebra \ Sμ, Sν\\,=\,εμνγSγ. It is shown that it is a general consequence of these features that the Poincarè invariance is broken down to the Lorentz one, so indicating that it is not possible to keep simultaneously the free nature of the anyon and the translational invariance.
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