$SU(6)$ 超对称 331 模型中的逆跷跷板与暴胀
Inverse seesaw and inflation in a supersymmetric 331 model from $SU(6)$
- Zhejiang Normal University（浙江师范大学）
- Khazar University（阿塞拜疆汗沙尔大学）
- Henan Normal University（河南师范大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文提出一个 $SU(6)$ 超对称 331 模型，通过逆跷跷板机制产生中微子质量，并统一解释规范中介、统一和暴胀，给出各尺度间的解析关系。
AI中文摘要：
我们提出一个具有中间 $(SU(3)_C\times SU(3)_L\times U(1)_X)$ 相的 $N=1$ 超对称 $SU(6)$ 理论，其中共同的场和算符将中微子、规范中介、统一和对称性破缺扇区联系起来。逆跷跷板狄拉克矩阵是反对称的，因此秩为二，在领头阶留下一个无质量中微子。领头阶的对称性允许修正通过该零模在狄拉克矩阵的左、右零向量上的投影来提升该零模，导致由中间尺度和紫外尺度之比给出的四次方压低。完整的统一中介多重态保持单圈规范耦合相交的相对性，而进入中介扇区的超对称破缺 spurion 也决定了轻子数破缺的尺度。控制 (331) 破缺的耦合同时固定了暴胀归一化和破缺真空中的径向质量。对于阈值计算中采用的条件性重谱，规范耦合保持微扰性。垂直于暴胀子的物理标量方向在中性 $((\Phi,\bar\Phi,S))$ 子空间内是稳定的。这些结果提供了逆跷跷板、中介扇区、统一规范演化和暴胀之间的解析尺度关系，同时明确保留了与紫外 Higgs 和重阈值扇区相关的假设。
英文摘要：
We propose a $N=1$ supersymmetric $SU(6)$ theory with an intermediate $(SU(3)_C\times SU(3)_L\times U(1)_X)$ phase, in which common fields and operators relate the neutrinos, gauge mediation, unification, and symmetry-breaking sectors. The inverse-seesaw Dirac matrix is antisymmetric and thus has rank two, leaving one massless neutrino at leading order. The leading symmetry-allowed correction lifts this zero mode through its projection onto the left and right null vectors of the Dirac matrix, resulting in a quartic suppression by the ratio of the intermediate and ultraviolet scales. The complete unified messenger multiplets preserve the relative one-loop gauge-coupling crossing, while the supersymmetry-breaking spurion entering the messenger sector also determines the scale of lepton-number violation. The coupling governing (331) breaking fixes both the inflationary normalization and the radial mass in the broken vacuum. For the conditional heavy spectrum adopted in the threshold calculations, the gauge couplings remain perturbative. The physical scalar directions transverse to the inflaton are stable within the neutral $((Φ,\barΦ,S))$ subspace. These results provide the analytical scale relations among the inverse seesaw, messenger sector, unified gauge evolution, and inflation, while keeping the assumptions associated with the ultraviolet Higgs and heavy-threshold sectors explicitly.
