Covariant particle exchange for kappa-deformed theories in 1+1 dimensions

Abstract

We consider the exchange of identical scalar particles in theories with kappa-deformed Poincare symmetry. We argue that, at least in 1+1 dimensions, the symmetric group S_N can be realized on the space of N-particle states in a kappa-covariant fashion. For the case of two particles this realization is unique: we show that there is only one non-trivial intertwiner, which automatically squares to the identity.

arXiv comment24 pages, 13 figures

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• Constraints on the quantum gravity scale from kappa - Minkowski spacetime
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• Rainbow statistics
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