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cymyc -- Calabi-Yau Metrics, Yukawas, and Curvature

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arxiv 2410.19728 v1 pith:YUO7PME5 submitted 2024-10-25 hep-th cs.LGhep-ph

Per Berglund , Giorgi Butbaia , Tristan Hübsch , Vishnu Jejjala , Challenger Mishra , Damián Mayorga Peña , Justin Tan This is my paper · ORCID
classification hep-thcs.LGhep-ph
keywords cymycansatzcalabi-yauclassfieldslargemanifoldsmodel
verification ladder T0 review T1 audit T2 compute T3 formal
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We introduce \texttt{cymyc}, a high-performance Python library for numerical investigation of the geometry of a large class of string compactification manifolds and their associated moduli spaces. We develop a well-defined geometric ansatz to numerically model tensor fields of arbitrary degree on a large class of Calabi-Yau manifolds. \texttt{cymyc} includes a machine learning component which incorporates this ansatz to model tensor fields of interest on these spaces by finding an approximate solution to the system of partial differential equations they should satisfy.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Warped Numerical Calabi-Yau Metrics

    hep-th 2026-07 conditional novelty 7.0 of 10

    First numerical GKP warped Type IIB flux background on a Dwork quintic, giving a 0.5% throat-volume estimate near the conifold and new metric/harmonic-form/warp-factor techniques.

  2. Balanced Metrics Know About SYZ

    hep-th 2026-07 conditional novelty 6.0 of 10

    Ambient balanced metric coefficients on Calabi-Yau manifolds decay as |ψ|^{-f(α)} near the large complex structure limit, and the exponent function's Legendre transform gives the dual tropical potential expected from SYZ.

  3. Pre-Strings Lectures on Artificial Intelligence

    hep-th 2026-07 accept novelty 5.5 of 10

    Lecture notes define neural-network field theory and survey how it recovers known QFT/string results plus applied AI techniques for string problems.

  4. What to do with a Ricci-flat Calabi--Yau metric?

    hep-th 2026-05 unverdicted novelty 3.0 of 10

    Numerical Ricci-flat Calabi–Yau metrics turn string compactifications from topological existence statements into computable geometries, unlocking normalized couplings, spectra, and metric-level tests of mirror symmetry.

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