世代的几何
The Geometry of Generations
摘要：
我们提出了一个有趣的和精确的代数几何和现象学的粒子世代之间的相互作用。利用MSSM的电弱扇区作为试验场，我们计算了真空的模空间作为多代标准模型物质和希格斯偶极子的代数簇。该空间被证明有卡拉比丘，格拉斯曼，和环面签名敏感地依赖于轻子的世代数，以及列入马约拉纳质量条款的右手中微子。我们推测为什么三代人是特别的。
英文摘要：
We present an intriguing and precise interplay between algebraic geometry and the phenomenology of generations of particles. Using the electroweak sector of the MSSM as a testing ground, we compute the moduli space of vacua as an algebraic variety for multiple generations of Standard Model matter and Higgs doublets. The space is shown to have Calabi-Yau, Grassmannian, and toric signatures which sensitively depend on the number of generations of leptons, as well as inclusion of Majorana mass terms for right-handed neutrinos. We speculate as to why three generations is special.
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