On Algorithmic Universality in F-theory Compactifications

Abstract

We study universality of geometric gauge sectors in the string landscape in the context of F-theory compactifications. A finite time construction algorithm is presented for $\frac{4}{3}\times 2.96\times 10^{755}$ F-theory geometries that are connected by a network of topological transitions in a connected moduli space. High probability geometric assumptions uncover universal structures in the ensemble without explicitly constructing it. For example, non-Higgsable clusters of seven-branes with intricate gauge sectors occur with probability above $1-1.01\times 10^{-755}$, and the geometric gauge group rank is above $160$ with probability $.999995$. In the latter case there are at least $10$ $E_8$ factors, the structure of which fixes the gauge groups on certain nearby seven-branes. Visible sectors may arise from $E_6$ or $SU(3)$ seven-branes, which occur in certain random samples with probability $\simeq 1/200$.

6 pages, 5 figures

References in corpus (25)

• Evidence for F-Theory
• Quantization of Four-form Fluxes and Dynamical Neutralization of the Cosmological Constant
• Compactifications of F-Theory on Calabi--Yau Threefolds -- II
• Distributions of flux vacua
• Counting Flux Vacua
• Computational complexity of the landscape I
• Toric bases for 6D F-theory models
• Dark SU(N) glueball stars on fluid branes
• On the Hodge structure of elliptically fibered Calabi-Yau threefolds
• String Theory and the Dark Glueball Problem
• Non-Higgsable clusters for 4D F-theory models
• The F-theory geometry with most flux vacua
• Calabi-Yau threefolds with large h^{2, 1}
• ${\mathbb{P}}^1$-bundle bases and the prevalence of non-Higgsable structure in 4D F-theory models
• A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua
• The Vertical, the Horizontal and the Rest: anatomy of the middle cohomology of Calabi-Yau fourfolds and F-theory applications
• Non-Higgsable QCD and the Standard Model Spectrum in F-theory
• A Cosmic Selection Rule for Glueball Dark Matter Relic Density
• Codimension-Three Bundle Singularities in F-Theory
• Gravitational Waves From SU(N) Glueball Dark Matter
• On the computation of non-perturbative effective potentials in the string theory landscape -- IIB/F-theory perspective
• Strong Coupling in F-theory and Geometrically Non-Higgsable Seven-branes
• Statistics of Flux Vacua for Particle Physics
• The Cost of Seven-brane Gauge Symmetry in a Quadrillion F-theory Compactifications
• Non-toric bases for elliptic Calabi-Yau threefolds and 6D F-theory vacua

Cited by in corpus (37)

• Branes with Brains: Exploring String Vacua with Deep Reinforcement Learning
• On String Theory Expectations for Photon Couplings to Axion-Like Particles
• Swampland Conjectures and Late-Time Cosmology
• Gravitational Waves from Dark Yang-Mills Sectors
• Scanning the skeleton of the 4D F-theory landscape
• A Quadrillion Standard Models from F-theory
• Computational Complexity of Vacua and Near-Vacua in Field and String Theory
• Vacuum Selection from Cosmology on Networks of String Geometries
• Machine learning for complete intersection Calabi-Yau manifolds: a methodological study
• Estimating Calabi-Yau Hypersurface and Triangulation Counts with Equation Learners
• Generic matter representations in 6D supergravity theories
• Dark Glueballs and their Ultralight Axions
• On Axion Reheating in the String Landscape
• Gravitational Memory and Compact Extra Dimensions
• Revealing systematics in phenomenologically viable flux vacua with reinforcement learning
• The Standard Model from String Theory: What Have We Learned?
• Learning non-Higgsable gauge groups in 4D F-theory
• On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds
• Axion Landscape Cosmology
• General F-theory models with tuned $(\mathrm{SU}(3)\times \mathrm{SU}(2)\times U(1))/{\mathbb{Z}}_6$ symmetry
• Kahler Moduli Stabilization and the Propagation of Decidability
• On the Scarcity of Weak Coupling in the String Landscape
• Fibration structure in toric hypersurface Calabi-Yau threefolds
• $6$D Anomaly-Free Matter Spectrum in F-theory on Singular Spaces
• Metric Flows with Neural Networks
• Natural F-theory constructions of Standard Model structure from $E_7$ flux breaking
• Constraints on Standard Model Constructions in F-theory
• On the Elliptic Calabi-Yau Fourfold with Maximal $h^{1,1}$
• (2,2) Geometry from Gauge Theory
• Gauge symmetry breaking with fluxes and natural Standard Model structure from exceptional GUTs in F-theory
• On the Generality and Persistence of Cosmological Stasis
• Large U(1) charges from flux breaking in 4D F-theory models
• Towards natural and realistic $E_7$ GUTs in F-theory
• Faking Gauge Coupling Unification in String Theory
• Notes on anomalies, elliptic curves and the BS-D conjecture
• High Performance Algorithms for Quantum Gravity and Cosmology
• Elliptic Calabi-Yau fivefolds and 2d (0,2) F-theory landscape