167 citations · 226 across the 7 of their papers we have counts for
9 papers
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…
Sven: Singular Value Descent as a Computationally Efficient Natural Gradient Method
Samuel Bright-Thonney, Thomas R. Harvey, Andre Lukas +1
We introduce Sven (Singular Value dEsceNt), a new optimization algorithm for neural networks that exploits the natural decomposition of loss functions into a sum over individual da…
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…
Cosmological Perturbations in Brane-World Theories: Formalism
C. van de Bruck, M. Dorca, R. H. Brandenberger +1
We develop a gauge-invariant formalism to describe metric perturbations in five-dimensional brane-world theories. In particular, this formalism applies to models originating from h…
Quark and Lepton Mass Matrices from Horizontal U(1) Symmetry
E. J. Chun, A. Lukas
In the simplest model of horizontal U(1) symmetry with one singlet added to the supersymmetric standard model, we systematically reconstruct quark mass matrices from the low-energy…