标题： 一个$\mathrm{SU(3)_c \otimes SU(3)_L \otimes U(1)_X}$电弱模型的字符串完备化 显示英文标题

标题： String completion of an $\mathrm{SU(3)_c \otimes SU(3)_L \otimes U(1)_X}$ electroweak model

摘要： 拓展的电弱$\mathrm{SU(3)_c \otimes SU(3)_L \otimes U(1)_X}$对称性框架“解释”费米子族数的情形被重新审视。 尽管基于$331$的方案难以在传统场论意义上统一，我们展示了如何在一个基于D膜以及（非）定向开弦、Calabi-Yau奇点的方法中实现这一点。 我们展示出该理论如何在一个箭图设定下完成UV完备化，并且没有规范和弦异常。 轻子和重子数在微扰论中是守恒的，因此中微子为狄拉克型，它们的轻质量来源于一个新的TeV尺度的跷跷板机制。 外延瞬子对重子数的动力学破缺可能诱导中子-反中子振荡，同时严格禁止质子衰变以及其他危险的R-宇称破缺过程。 显示英文摘要

摘要： 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.