MS Seminar (Mathematics - String Theory)

Speaker: Damian Kaloni Mayorga Pena (Instituto Superior Tecnico, Univ. of Lisbon)
Title: Machine learning for heterotic string phenomenology
Date (JST): Tue, Dec 17, 2024, 13:30 - 15:00
Place: Seminar Room A
Abstract: In this talk I will present recent advancements in applying machine learning to Calabi-Yau (CY) compactifications of the E8 × E8 heterotic string. A central challenge in this domain is the determination of the Ricci-flat metric on the CY, which remains analytically elusive. I will discuss various approaches that have been developed to approximate these metrics numerically, framing them as optimization problems solvable by machine learning techniques. Additionally, I will showcase numerical methods for constructing globally defined harmonic one-forms on Calabi-Yau manifolds and their relevance in computing kinetically normalized Yukawa couplings. I will discuss the efficacy and limitations of these techniques as well as the physical results in concrete examples such as the Tian-Yau manifold.