6 papers · 1 filter
Calabi-Yau Metrics with Full Moduli Dependence
Andrei Constantin, Seung-Joo Lee, Andre Lukas +1
Recent advances in numerical and machine-learning methods have enabled highly accurate constructions of Ricci-flat metrics on compact Calabi-Yau three-folds. For phenomenological a…
Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study
Andrei Constantin, Lucas T. -Y. Leung, Andre Lukas +1
Deriving the Yukawa couplings and the resulting fermion masses and mixing angles of the Standard Model (SM) from a more fundamental theory remains one of the central outstanding pr…
Approximate Ricci-flat Metrics for Calabi-Yau Manifolds
Seung-Joo Lee, Andre Lukas
We outline a method to determine analytic Kähler potentials with associated approximately Ricci-flat Kähler metrics on Calabi-Yau manifolds. Key ingredients are numerically calcula…
Fermion Masses and Mixing in String-Inspired Models
Andrei Constantin, Kit Fraser-Taliente, Thomas R. Harvey +2
We study a class of supersymmetric Froggatt-Nielsen (FN) models with multiple U(1) symmetries and Standard Model (SM) singlets inspired by heterotic string compactifications on Cal…
Computation of Quark Masses from String Theory
Andrei Constantin, Kit Fraser-Taliente, Thomas R. Harvey +2
We present a numerical computation, based on neural network techniques, of the physical Yukawa couplings in a heterotic string theory compactification on a smooth Calabi-Yau threef…
Enumerating Calabi-Yau Manifolds: Placing bounds on the number of diffeomorphism classes in the Kreuzer-Skarke list
Aditi Chandra, Andrei Constantin, Kit Fraser-Taliente +2
The diffeomorphism class of simply-connected smooth Calabi-Yau threefolds with torsion-free cohomology is determined via certain basic topological invariants: the Hodge numbers, th…