Moduli-dependent KK towers and the swampland distance conjecture on the quintic Calabi-Yau manifold

Abstract

We use numerical methods to obtain moduli-dependent Calabi-Yau metrics and from them the moduli-dependent massive tower of Kaluza-Klein states for the one-parameter family of quintic Calabi-Yau manifolds. We then compute geodesic distances in their Kähler and complex structure moduli space using exact expressions from mirror symmetry, approximate expressions, and numerical methods and compare the results. Finally, we fit the moduli-dependence of the massive spectrum to the geodesic distance to obtain the rate at which states become exponentially light. The result is indeed of order one, as suggested by the swampland distance conjecture. We also observe level-crossing in the eigenvalue spectrum and find that states in small irreducible representations of the symmetry group tend to become lighter than states in larger irreducible representations.

references added and minor changes, 10 pages, 5 figures

References in corpus (10)

• On the Geometry of the String Landscape and the Swampland
• The Swampland: Introduction and Review
• Machine Learning of Calabi-Yau Volumes
• Machine Learning in the String Landscape
• The web of swampland conjectures and the TCC bound
• Evolving neural networks with genetic algorithms to study the String Landscape
• Numerical Calabi-Yau metrics
• The effective action of the heterotic string compactified on manifolds with SU(3) structure
• Numerical Calabi-Yau metrics from holomorphic networks
• Eigenvalues and eigenforms on Calabi-Yau threefolds

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• Machine Learned Calabi-Yau Metrics and Curvature
• Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
• Characterizing 4-string contact interaction using machine learning
• Level Crossings, Attractor Points and Complex Multiplication
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Analysis and spectral theory of neck-stretching problems
• cymyc -- Calabi-Yau Metrics, Yukawas, and Curvature
• Learning Size and Shape of Calabi-Yau Spaces