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String completion of an SU(3)_c otimes SU(3)_L otimes U(1)_X electroweak model

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arxiv 1604.02117 v2 pith:I4WIGEKA submitted 2016-04-07 hep-ph hep-th

String completion of an SU(3)_c otimes SU(3)_L otimes U(1)_X electroweak model

classification hep-ph hep-th
keywords otimesbaryonelectroweakmathrmnumberstringtheoryanomalies
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The extended electroweak $\mathrm{SU(3)_c \otimes SU(3)_L \otimes U(1)_X}$ 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.

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