Lorentz invariant equations for multiplets and their gauge

What is it about?

This paper explores the existence of kinematical gauge transformations for Lorentz invariant equations which describe a multiplet of two spin $\frac{1}{2}$ particles. For this multiplet the additional gauge invariance can be in form of three different groups of transformation. This gauge is absent when the particles are treated separately. {The existence of this gauge might find applications within the context of the quark model, nuclear matter (which consist of multiplets of protons and neutrons) and graphene physics where Quasi-particles in graphene behave like relativistic particles described by the Dirac equation

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Why is it important?

Elementary particles come in multiplets. This paper explore the possible emergence of these muliplets as a generic result for the existence of a gauge for Lorentz invariant equations for multiplets