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}
}
  • Yang-Hui He, Vishnu Jejjala, +2 authors Michael Eugene Stillman
  • Published 2014
  • Physics, Mathematics
  • Communications in Mathematical Physics
  • 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

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

    1
    Twitter Mention

    Citations

    Publications citing this paper.

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 30 REFERENCES

    The topology of toric varieties

    VIEW 5 EXCERPTS
    HIGHLY INFLUENTIAL

    Topics in the Geometry of Projective Space

    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Ovrut, eds., “Computational algebraic geometry in string, gauge theory

    • Y.-H. He, P. Candelas, A. Hanany, A. Lukas
    • Special Issue, Advances in High Energy Physics,
    • 2012
    VIEW 1 EXCERPT