String completion of an $\mathrm{SU}(3{)}_{\mathrm{c}}\otimes \mathrm{SU}(3{)}_{\mathrm{L}}\otimes \mathrm{U}(1{)}_{\mathrm{X}}$ electroweak model

Abstract

The extended electroweak $\mathrm{SU}(3{)}_{\mathrm{c}}\otimes \mathrm{SU}(3{)}_{\mathrm{L}}\otimes \mathrm{U}(1{)}_{\mathrm{X}}$ symmetry framework "explaining" the number of fermion families is revisited. While $331$-based schemes can not easily be unified within the conventional field theory sense, we show how to do it within an approach based on D-branes and (un)oriented open strings, on Calabi-Yau singularities. We show how the theory can be UV-completed in a quiver setup, free of gauge and string anomalies. Lepton and baryon numbers are perturbatively conserved, so neutrinos are Dirac-type, and their lightness results from a novel TeV scale seesaw mechanism. Dynamical violation of baryon number by exotic instantons could induce neutron-antineutron oscillations, with proton decay and other dangerous R-parity violating processes strictly forbidden.

12 pages, 2 figures, published version

References in corpus (12)

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• Minimal Anomalous U(1)' Extension of the MSSM
• Radiative neutrino mass in 331 scheme
• Small neutrino masses and gauge coupling unification
• Neutron Majorana mass from exotic instantons
• 'Exotic vector-like pair' of color-triplet scalars
• Small violations of unitarity, the phase in Bs mixing and visible t->cZ decays at the LHC

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• A theory for scotogenic dark matter stabilised by residual gauge symmetry
• 331 Models and Grand Unification: From Minimal SU(5) to Minimal SU(6)
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• Super-light baryphotons, Weak Gravity Conjecture and Exotic instantons in Neutron-Antineutron transitions
• Weak Gravity Conjecture as a Razor Criterium for Exotic D-brane instantons
• Testing B-violating signatures from Exotic Instantons in future colliders
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