English

Spectrum bounds in geometry

Algebraic Geometry 2023-07-28 v2 High Energy Physics - Theory

Abstract

Filipazzi, Hacon and Svaldi proved that there are only finitely many topological types of elliptically fibered Calabi-Yau threefolds. We explore the implications of their results on the boundedness of the geometric quantities in the massless spectrum of the F-theory Calabi-Yau compactifications. We conclude with explicit bounds.

Keywords

Cite

@article{arxiv.2304.07819,
  title  = {Spectrum bounds in geometry},
  author = {Antonella Grassi},
  journal= {arXiv preprint arXiv:2304.07819},
  year   = {2023}
}

Comments

Final version; exposition improved

R2 v1 2026-06-28T10:07:31.340Z