# The Geometry of Generations

@article{He2014TheGO, title={The Geometry of Generations}, author={Yang-Hui He and Vishnu Jejjala and Cyril Matti and Brent D. Nelson and Michael Eugene Stillman}, journal={Communications in Mathematical Physics}, year={2014}, volume={339}, pages={149-190} }

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… CONTINUE READING

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