  We investigate the possibility to find an ultraviolet completion of the
simple extensions of the Standard Model where baryon number is a local
symmetry. In the context of such theories one can understand the spontaneous
breaking of baryon number at the low scale and the proton stability. We find a
simple theory based on SU(4)_C x SU(3)_L x SU(3)_R where baryon number is
embedded in a non-Abelian gauge symmetry. We discuss the main features of the
theory and the possible implications for experiments. This theory predicts
stable colored and/or fractional electric charged fields which can give rise to
very exotic signatures at the Large Hadron Collider experiments such as CMS and
ATLAS. We further discuss the embedding in a gauge theory based on SU(4)_C x
SU(4)_L x SU(4)_R which could define the way to achieve the unification of the
gauge interactions at the low scale.

High Energy Physics - Phenomenology;High Energy Physics - Experiment;High Energy Physics - Theory