Fabian Ruehle

Learning Topological Features of $Z$ -invariants

Brandon Robinson, Shimal Harichurn, Fabian Ruehle +3

Machine learning and data analysis techniques have recently emerged as powerful tools for identifying patterns and formulating conjectures in mathematical research, most notably in…

Warped Numerical Calabi-Yau Metrics

Severin Lüst, Fabian Ruehle, Simon Schreyer

We compute numerical warped Type IIB flux backgrounds on Calabi-Yau threefolds following the construction of Giddings, Kachru, and Polchinski. Using physics-informed neural network…

Kaleidoscopes, Waves and the Prepotential

Rafael Álvarez-García, Fabian Ruehle

Isomorphic flops are topology-changing transitions connecting two diffeomorphic families of Calabi-Yau threefolds. They correspond to the generators of certain Coxeter groups actin…

Harmonic Analysis of the Instanton Prepotential

Rafael Álvarez-García, Fabian Ruehle

Discrete symmetries of Calabi-Yau moduli spaces, generated by isomorphic flops, constrain the instanton expansion of the 4D $N = 2$ Type~IIA prepotential. We show that the…

hep-th2025

Fermions and Supersymmetry in Neural Network Field Theories

Samuel Frank, James Halverson, Anindita Maiti +1

We introduce fermionic neural network field theories via Grassmann-valued neural networks. Free theories are obtained by a generalization of the Central Limit Theorem to Grassmann…

A Twist on Heterotic Little String Duality

Hamza Ahmed, Paul-Konstantin Oehlmann, Fabian Ruehle

In this work, we significantly expand the web of T-dualities among heterotic NS5-brane theories with eight supercharges. This is achieved by introducing twists involving outer auto…

Attractors, Geodesics, and the Geometry of Moduli Spaces

Fabian Ruehle, Benjamin Sung

We connect recent conjectures and observations pertaining to geodesics, attractor flows, Laplacian eigenvalues and the geometry of moduli spaces by using that attractor flows are g…

hep-th2024

A Heterotic Kähler Gravity and the Distance Conjecture

Javier José Murgas Ibarra, Paul-Konstantin Oehlmann, Fabian Ruehle +1

Deformations of the heterotic superpotential give rise to a topological holomorphic theory with similarities to both Kodaira-Spencer gravity and holomorphic Chern-Simons theory. Al…

Bounds and Dualities of Type II Little String Theories

Florent Baume, Paul-Konstantin Oehlmann, Fabian Ruehle

We explore the symmetry structure of Type II Little String Theories and their T-dualities. We construct these theories both from the bottom-up perspective starting with seed Superc…

The Frozen Phase of Heterotic F-theory Duality

Paul-Konstantin Oehlmann, Fabian Ruehle, Benjamin Sung

We study the duality between the Spin $(32) / Z_{2}$ heterotic string without vector structure and F-theory with frozen singularities. We give a complete description in theorie…

hep-th2024

On classical de Sitter solutions and parametric control

David Andriot, Fabian Ruehle

Finding string backgrounds with de Sitter spacetime, where all approximations and corrections are controlled, is an open problem. We revisit the search for de Sitter solutions in t…

hep-th2024

Rigor with Machine Learning from Field Theory to the Poincaré Conjecture

Sergei Gukov, James Halverson, Fabian Ruehle

Machine learning techniques are increasingly powerful, leading to many breakthroughs in the natural sciences, but they are often stochastic, error-prone, and blackbox. How, then, s…

hep-th2023★ 1 cited

T-Duality and Flavor Symmetries in Little String Theories

Hamza Ahmed, Paul-Konstantin Oehlmann, Fabian Ruehle

We explore the T-duality web of 6D Heterotic Little String Theories, focusing on flavor algebra reducing deformations. A careful analysis of the full flavor algebra, including Abel…

hep-th2023★ 9 cited

Metric Flows with Neural Networks

James Halverson, Fabian Ruehle

We develop a general theory of flows in the space of Riemannian metrics induced by neural network gradient descent. This is motivated in part by recent advances in approximating Ca…

hep-th2023★ 7 cited

Level Crossings, Attractor Points and Complex Multiplication

Hamza Ahmed, Fabian Ruehle

We study the complex structure moduli dependence of the scalar Laplacian eigenmodes for one-parameter families of Calabi-Yau $n$ -folds in P^{n+1}. It was previously observed that s…

hep-th2022★ 3 cited

Symmetries of Calabi-Yau Prepotentials with Isomorphic Flops

Andre Lukas, Fabian Ruehle

Calabi-Yau threefolds with infinitely many flops to isomorphic manifolds have an extended Kahler cone made up from an infinite number of individual Kahler cones. These cones are re…

hep-th2022

Numerical Metrics for Complete Intersection and Kreuzer-Skarke Calabi-Yau Manifolds

Magdalena Larfors, Andre Lukas, Fabian Ruehle +1

We introduce neural networks to compute numerical Ricci-flat CY metrics for complete intersection and Kreuzer-Skarke Calabi-Yau manifolds at any point in Kähler and complex structu…

Recent Developments in Line Bundle Cohomology and Applications to String Phenomenology

Callum Brodie, Andrei Constantin, James Gray +2

Vector bundle cohomology represents a key ingredient for string phenomenology, being associated with the massless spectrum arising in string compactifications on smooth compact man…

Flops for Complete Intersection Calabi-Yau Threefolds

Callum Brodie, Andrei Constantin, Andre Lukas +1

We study flops of Calabi-Yau threefolds realised as Kaehler-favourable complete intersections in products of projective spaces (CICYs) and identify two different types. The existen…

Learning Size and Shape of Calabi-Yau Spaces

Magdalena Larfors, Andre Lukas, Fabian Ruehle +1

We present a new machine learning library for computing metrics of string compactification spaces. We benchmark the performance on Monte-Carlo sampled integrals against previous nu…