Moduli-dependent Calabi-Yau and SU (3)-structure metrics from Machine Learning

LB Anderson, M Gerdes, J Gray, S Krippendorf… - Journal of High Energy …, 2021 - Springer
A bstract We use machine learning to approximate Calabi-Yau and SU (3)-structure metrics,
including for the first time complex structure moduli dependence. Our new methods …

Two hundred heterotic standard models on smooth Calabi-Yau threefolds

LB Anderson, J Gray, A Lukas, E Palti - Physical Review D—Particles, Fields …, 2011 - APS
We construct heterotic standard models by compactifying on smooth Calabi-Yau three-folds
in the presence of purely Abelian internal gauge fields. A systematic search over complete …

Heterotic line bundle standard models

LB Anderson, J Gray, A Lukas, E Palti - Journal of High Energy Physics, 2012 - Springer
A bstract In a previous publication, arxiv: 1106.4804, we have found 200 models from
heterotic Calabi-Yau compactifications with line bundles, which lead to standard models …

Fibrations in CICY threefolds

LB Anderson, X Gao, J Gray, SJ Lee - Journal of High Energy Physics, 2017 - Springer
A bstract In this work we systematically enumerate genus one fibrations in the class of 7, 890
Calabi-Yau manifolds defined as complete intersections in products of projective spaces, the …

Exploring positive monad bundles and a new heterotic standard model

LB Anderson, J Gray, YH He, A Lukas - Journal of High Energy Physics, 2010 - Springer
A complete analysis of all heterotic Calabi-Yau compactifications based on positive two-term
monad bundles over favourable complete intersection Calabi-Yau threefolds is performed …

T-branes and geometry

LB Anderson, JJ Heckman, S Katz - Journal of High Energy Physics, 2014 - Springer
A bstract T-branes are a non-abelian generalization of intersecting branes in which the
matrix of normal deformations is nilpotent along some subspace. In this paper we study the …

Stabilizing all geometric moduli in heterotic Calabi-Yau vacua

LB Anderson, J Gray, A Lukas, B Ovrut - Physical Review D—Particles, Fields …, 2011 - APS
We propose a scenario to stabilize all geometric moduli—that is, the complex structure,
Kähler moduli, and the dilaton—in smooth heterotic Calabi-Yau compactifications without …

[HTML][HTML] Computation of quark masses from string theory

A Constantin, CS Fraser-Taliente, TR Harvey, A Lukas… - Nuclear Physics B, 2025 - Elsevier
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 …

Holomorphic bundles and the moduli space of N= 1 supersymmetric heterotic compactifications

X de la Ossa, EE Svanes - Journal of High Energy Physics, 2014 - Springer
A bstract We describe the first order moduli space of heterotic string theory compactifications
which preserve N= 1 supersymmetry in four dimensions, that is, the infinitesimal parameter …

Stabilizing the complex structure in heterotic Calabi-Yau vacua

LB Anderson, J Gray, A Lukas, B Ovrut - Journal of High Energy Physics, 2011 - Springer
In this paper, we show that the presence of gauge fields in heterotic Calabi-Yau
compactifications can cause the stabilization of some, or all, of the complex structure moduli …