Heterotic string model building with monad bundles and reinforcement learning

A Constantin, TR Harvey, A Lukas - Fortschritte der Physik, 2022 - Wiley Online Library
We use reinforcement learning as a means of constructing string compactifications with
prescribed properties. Specifically, we study heterotic GUT models on Calabi‐Yau three …

Decoding Nature with Nature's Tools: Heterotic Line Bundle Models of Particle Physics with Genetic Algorithms and Quantum Annealing

SA Abel, A Constantin, TR Harvey, A Lukas… - Fortschritte der …, 2024 - Wiley Online Library
The string theory landscape may include a multitude of ultraviolet embeddings of the
Standard Model, but identifying these has proven difficult due to the enormous number of …

Discrete Gauge Symmetries by Higgsing in four-dimensional F-theory Compactifications

C Mayrhofer, E Palti, O Till, T Weigand - Journal of High Energy Physics, 2014 - Springer
A bstract We study F-theory compactifications to four dimensions that exhibit discrete gauge
symmetries. Geometrically these arise by deforming elliptic fibrations with two sections to a …

[HTML][HTML] Counting string theory standard models

A Constantin, YH He, A Lukas - Physics Letters B, 2019 - Elsevier
We derive an approximate analytic relation between the number of consistent heterotic
Calabi-Yau compactifications of string theory with the exact charged matter content of the …

Formulae for line bundle cohomology on Calabi‐Yau threefolds

A Constantin, A Lukas - Fortschritte der Physik, 2019 - Wiley Online Library
We present closed form expressions for the ranks of all cohomology groups of holomorphic
line bundles on several Calabi‐Yau threefolds realised as complete intersections in …

Intelligent Explorations of the String Theory Landscape

A Constantin - MACHINE LEARNING: IN PURE MATHEMATICS …, 2023 - World Scientific
The goal of identifying the Standard Model of particle physics and its extensions within string
theory has been one of the principal driving forces in string phenomenology. Recently, the …

Holomorphic Yukawa couplings in heterotic string theory

S Blesneag, EI Buchbinder, P Candelas… - Journal of High Energy …, 2016 - Springer
A bstract We develop techniques, based on differential geometry, to compute holomorphic
Yukawa couplings for heterotic line bundle models on Calabi-Yau manifolds defined as …

Eigenvalues and eigenforms on Calabi-Yau threefolds

A Ashmore - arXiv preprint arXiv:2011.13929, 2020 - arxiv.org
We present a numerical algorithm for computing the spectrum of the Laplace-de Rham
operator on Calabi-Yau manifolds, extending previous work on the scalar Laplace operator …

Hodge numbers for all CICY quotients

A Constantin, J Gray, A Lukas - Journal of High Energy Physics, 2017 - Springer
A bstract We present a general method for computing Hodge numbers for Calabi-Yau
manifolds realised as discrete quotients of complete intersections in products of projective …

Hypercharge flux in heterotic compactifications

LB Anderson, A Constantin, SJ Lee, A Lukas - Physical Review D, 2015 - APS
We study heterotic Calabi-Yau models with hypercharge flux breaking, where the visible E 8
gauge group is directly broken to the standard model group by a nonflat gauge bundle …