Twisted Statistics in kappa-Minkowski Spacetime

TL;DR

This paper explores how particle statistics are affected in kappa-Minkowski spacetime by constructing a twisted flip operator compatible with the symmetry group, revealing independence from ordering in certain realizations.

Contribution

It introduces a twisted flip operator for identical particles in kappa-deformed spaces, compatible with symmetry, and shows its independence from ordering in specific realizations.

Findings

Twisted flip operator compatible with symmetry group derived

Independence from ordering prescription in special realizations

Advances understanding of particle statistics in noncommutative spacetime

Abstract

We consider the issue of statistics for identical particles or fields in kappa-deformed spaces, where the system admits a symmetry group G. We obtain the twisted flip operator compatible with the action of the symmetry group, which is relevant for describing particle statistics in presence of the noncommutativity. It is shown that for a special class of realizations, the twisted flip operator is independent of the ordering prescription.