Spectrum bounds in geometry

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.

Final version; exposition improved

Cited by in corpus (1)

• Boundedness of elliptic Calabi-Yau threefolds