Herb Clemens, Ohio State University: String theory as applied (very classical) algebraic geometry
Автор: IMSA
Загружено: 2025-04-08
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Herb Clemens, Ohio State University: String theory as applied (very classical) algebraic geometry
We suggest that `most' of necessary algebro-geometric input for a rather elegant model for Heterotic/F-theory duality in String Theory is contained in two books:
Classical Algebraic Geometry: A Modern View, by Igor Dolgachev,
Cambridge University Press (2012)
and
Enriques Surfaces I, 2nd edition, by F. Cossec, I. Dolgachev et al.,
Springer Verlag (2025).
The properties that the string theorists want, 3-generation, one Higgs doublet, Z4 R-symmetry, no vector-like exotics, calculable candidates for Yukawa couplings for quarks, leptons, and neutrinos at points of maximal symmetry, are provided by Enriques surfaces with two 'completely symmetric points' over the 'most symmetric' one-parameter family of degree-2 del Pezzo surfaces. A key role is played by the Higgs line bundle that in our case is constructed from a syzygetic tetrad of bitangents. It is used to navigate the roots of E8 and the breaking of its symmetries to those of the Standard Model. Joint work with Stuart Raby.

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