On Little Groups and Boosts of $κ$-deformed Poincare Group

Rouhani, S.; Shariati, A.

On Little Groups and Boosts of $κ$-deformed Poincare Group

Authors

Description

We show how Wigner's little group approach to the representation theory of Poincaré group may be generalized to the case of $κ$-deformed Poincaré group. We also derive the deformed Lorentz transformations of energy and momentum. We find that if the $κ$-deformed Poincaré group is adopted as the fundamental symmetry of nature, it results in deviations from predictions of the Poincaré symmetry at large energies, which may be experimentally observable.
11 pages, LaTeX