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Numerical metrics f...
Numerical metrics for complete intersection and Kreuzer-Skarke Calabi-Yau manifolds
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- Larfors, Magdalena, 1978- (författare)
- Uppsala universitet,Teoretisk fysik,Univ Durham, Dept Math Sci, Upper Mountjoy Campus,Stockton Rd, Durham DH1 3LE, England.
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- Lukas, Andre (författare)
- Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Parks Rd, Oxford OX1 3PU, England.
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- Ruehle, Fabian (författare)
- Northeastern Univ, Dept Phys, 360 Huntington Ave, Boston, MA 02115 USA.;Northeastern Univ, Dept Math, 360 Huntington Ave, Boston, MA 02115 USA.;NSF AI Inst Artificial Intelligence & Fundamental, Boston, MA USA.
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- Schneider, Robin (författare)
- Uppsala universitet,Teoretisk fysik
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(creator_code:org_t)
- 2022-09-20
- 2022
- Engelska.
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Ingår i: Machine Learning. - : Institute of Physics (IOP). - 2632-2153. ; 3:3
- Relaterad länk:
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https://doi.org/10.1...
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https://uu.diva-port... (primary) (Raw object)
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We introduce neural networks (NNs) to compute numerical Ricci-flat Calabi-Yau (CY) metrics for complete intersection and Kreuzer-Skarke (KS) CY manifolds at any point in Kahler and complex structure moduli space, and introduce the package cymetric which provides computation realizations of these techniques. In particular, we develop and computationally realize methods for point-sampling on these manifolds. The training for the NNs is carried out subject to a custom loss function. The Kahler class is fixed by adding to the loss a component which enforces the slopes of certain line bundles to match with topological computations. Our methods are applied to various manifolds, including the quintic manifold, the bi-cubic manifold and a KS manifold with Picard number two. We show that volumes and line bundle slopes can be reliably computed from the resulting Ricci-flat metrics. We also apply our results to compute an approximate Hermitian-Yang-Mills connection on a specific line bundle on the bi-cubic.
Ämnesord
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
Nyckelord
- metrics
- Kreuzer-Skarke
- Calabi-Yau
- CICY
- machine learning
- string theory
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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