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Computational Mirror Symmetry

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arxiv 2303.00757 v2 pith:VDVCZRHH submitted 2023-03-01 hep-th

Mehmet Demirtas , Manki Kim , Liam McAllister , Jakob Moritz , Andres Rios-Tascon This is my paper
classification hep-th
keywords mirrorthreefoldsalgorithmapplyingcalabi-yaucompactcompactificationscomputation
verification ladder T0 review T1 audit T2 compute T3 formal
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We present an efficient algorithm for computing the prepotential in compactifications of type II string theory on mirror pairs of Calabi-Yau threefolds in toric varieties. Applying this method, we exhibit the first systematic computation of genus-zero Gopakumar-Vafa invariants in compact threefolds with many moduli, including examples with up to 491 vector multiplets.

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Cited by 3 Pith papers

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

  1. Flux Vacua Near the Boundary of Large Complex Structure

    hep-th 2026-07 conditional novelty 6.0 of 10

    Near the boundary of large complex structure, the first worldsheet instanton can displace flux vacua significantly while higher instantons stay negligible, and such vacua are common in a bounded two-modulus scan.

  2. Universality in the Axiverse

    hep-th 2025-07 conditional novelty 6.0 of 10

    Normalized divisor volumes in toric Calabi-Yau threefolds appear universal, and a GOE level-spacing model with a fitted mean reproduces axion statistics across the Kreuzer-Skarke axiverse.

  3. 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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