UV dimensional reduction to two from group valued momenta

We describe a new model of deformed relativistic kinematics based on the group manifold U(1) xSU(2) as a four-momentum space. We discuss the action of the Lorentz group on such space andillustrate the deformed composition law for the group-valued momenta. Due to the geometric structure of the group, the deformed kinematics is governed by twoenergy scales lambda and kappa. A relevant feature of the model is that it exhibits a running spectral dimension dswith the characteristic short distance reduction to d(s)=2 found in most quantum gravity scenarios. (C) 2017 The Authors. Published by Elsevier B.V.