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hep-th2026
The Sharp Edges of Calabi-Yau Manifolds: Designing Symmetric Models for Ricci-flat Metrics
Viktor Mirjanić, Challenger Mishra
Computing Ricci-flat metrics on Calabi-Yau manifolds is challenging since no closed-form solutions are known. However, these computations are needed in order to make physical predi…
hep-th2024
Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces
Viktor Mirjanić, Challenger Mishra
Ever since Yau's non-constructive existence proof of Ricci-flat metrics on Calabi-Yau manifolds, finding their explicit construction remains a major obstacle to development of both…
hep-th2024
Calabi-Yau metrics through Grassmannian learning and Donaldson's algorithm
Carl Henrik Ek, Oisin Kim, Challenger Mishra
Motivated by recent progress in the problem of numerical Kähler metrics, we survey machine learning techniques in this area, discussing both advantages and drawbacks. We then revis…