Abstract
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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Acknowledgments
We thank Mike Douglas, Naomi Gendler, Ben Heidenreich, Richard Nally, Andreas Schachner, Mike Stillman and Tom Rudelius for helpful discussions. The research of M.D. was supported in part by the National Science Foundation under Cooperative Agreement PHY-2019786 (The NSF AI Institute for Artificial Intelligence and Fundamental Interactions). M.K. was supported by a Pappalardo Fellowship. L.M., J.M., and A.R.-T. were supported in part by NSF grant PHY-2014071.
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Demirtas, M., Kim, M., McAllister, L. et al. Computational Mirror Symmetry. J. High Energ. Phys. 2024, 184 (2024). https://doi.org/10.1007/JHEP01(2024)184
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DOI: https://doi.org/10.1007/JHEP01(2024)184