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Open AccessOn classical de Sitter solutions and parametric control
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 the classical regime for speci...
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Rigor with machine learning from field theory to the Poincaré conjecture
Despite their successes, machine learning techniques are often stochastic, error-prone and blackbox. How could they then be used in fields such as theoretical physics and pure mathematics for which error-free ...
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Article
Open AccessLevel crossings, attractor points and complex multiplication
We study the complex structure moduli dependence of the scalar Laplacian eigenmodes for one-parameter families of Calabi-Yau n-folds in ℙn+1. It was previously observed that some eigenmodes get lighter while othe...
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Open AccessSymmetries of Calabi-Yau prepotentials with isomorphic flops
Calabi-Yau threefolds with infinitely many flops to isomorphic manifolds have an extended Kähler cone made up from an infinite number of individual Kähler cones. These cones are related by reflection symmetrie...
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Open AccessGeodesics in the extended Kähler cone of Calabi-Yau threefolds
We present a detailed study of the effective cones of Calabi-Yau threefolds with h1,1 = 2, including the possible types of walls bounding the Kähler cone and a classification of the intersection forms arising in ...
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Open AccessModuli-dependent Calabi-Yau and SU(3)-structure metrics from machine learning
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 furthermore improve existing numerical approxima...
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Classifying Calabi–Yau Threefolds Using Infinite Distance Limits
We present a novel way to classify Calabi–Yau threefolds by systematically studying their infinite volume limits. Each such limit is at infinite distance in Kähler moduli space and can be classified by an asso...
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Open AccessMachine learning and algebraic approaches towards complete matter spectra in 4d F-theory
Motivated by engineering vector-like (Higgs) pairs in the spectrum of 4d F-theory compactifications, we combine machine learning and algebraic geometry techniques to analyze line bundle cohomologies on familie...
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Open AccessNon-simply-connected symmetries in 6D SCFTs
Six-dimensional N \( \mathcal{N} \) = (1, 0) superconformal field theories ...
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Open AccessHeterotic instantons for monad and extension bundles
We consider non-perturbative superpotentials from world-sheet instantons wrapped on holomorphic genus zero curves in heterotic string theory. These superpotential contributions feature prominently in moduli st...
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Open AccessBranes with brains: exploring string vacua with deep reinforcement learning
We propose deep reinforcement learning as a model-free method for exploring the landscape of string vacua. As a concrete application, we utilize an artificial intelligence agent known as an asynchronous advant...
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Open AccessCalabi-Yau manifolds and SU(3) structure
We show that non-trivial SU(3) structures can be constructed on large classes of Calabi-Yau three-folds. Specifically, we focus on Calabi-Yau three-folds constructed as complete intersections in products of pr...
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Open AccessHeterotic instanton superpotentials from complete intersection Calabi-Yau manifolds
We study Pfaffians that appear in non-perturbative superpotential terms arising from worldsheet instantons in heterotic theories. A result by Beasley and Witten shows that these instanton contributions cancel ...
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Open AccessDualities of deformed \( \mathcal{N}=2 \) SCFTs from link monodromy on D3-brane states
We study D3-brane theories that are dually described as deformations of two different N ...
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Open AccessEvolving neural networks with genetic algorithms to study the string landscape
We study possible applications of artificial neural networks to examine the string landscape. Since the field of application is rather versatile, we propose to dynamically evolve these networks via genetic alg...
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Open AccessLine bundle embeddings for heterotic theories
In heterotic string theories consistency requires the introduction of a non-trivial vector bundle. This bundle breaks the original ten-dimensional gauge groups E8 × E8 or SO(32) for the supersymmetric heterotic s...
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Open AccessCalabi-Yau compactifications of non-supersymmetric heterotic string theory
Phenomenological explorations of heterotic strings have conventionally focused primarily on the E8×E8 theory. We consider smooth compactifications of all three ten-dimensional heterotic theories to exhibit the ma...
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Open AccessNatural inflation and moduli stabilization in heterotic orbifolds
We study moduli stabilization in combination with inflation in heterotic orbifold compactifications in the light of a large Hubble scale and the favored tensor-to-scalar ratio r ≈ 0.05. To account for a trans-Pla...
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Open AccessRational F-theory GUTs without exotics
We construct F-theory GUT models without exotic matter, leading to the MSSM matter spectrum with potential singlet extensions. The interplay of engineering explicit geometric setups, absence of four-dimensiona...
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Article
Gauged Linear Sigma Models for toroidal orbifold resolutions
Toroidal orbifolds and their resolutions are described within the framework of (2,2) Gauged Linear Sigma Models (GLSMs). Our procedure describes two-tori as hyper-surfaces in (weighted) projective spaces. The ...
