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We study the use of machine learning for finding numerical hermitian Yang-Mills connections on line bundles over Calabi-Yau manifolds.
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V. Braun, Y.-H. He, B. A. Ovrut, and T. Pantev, “A Heterotic standard model”, Phys. Lett. B
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2006
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V. Braun, Y.-H. He, and B. A. Ovrut, “Yukawa couplings in heterotic standard models”, JHEP
2006
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V. Braun, Y.-H. He, B. A. Ovrut, and T. Pantev, “The Exact MSSM spectrum from string theory”, JHEP
2006
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V. Bouchard and R. Donagi, “An SU(5) heterotic standard model”, Phys. Lett. B
2006
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2007
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M. R. Douglas, R. L. Karp, S. Lukic, and R. Reinbacher, “Numerical solution to the hermitian Yang-Mills equation on the Fermat quintic”, JHEP
2007
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2012
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2012
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L. B. Anderson, J. Gray, A. Lukas, and E. Palti, “Heterotic Line Bundle Standard Models”, JHEP
2012
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2008
Cited alongside, same era.
2008
Cited alongside, same era.
M. R. Douglas, R. L. Karp, S. Lukic, and R. Reinbacher, “Numerical Calabi-Yau metrics”, J. Math. Phys
2008
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2008
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2008
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2010
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L. B. Anderson, J. Gray, and B. Ovrut, “Yukawa Textures From Heterotic Stability Walls”, JHEP
2010
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2012
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L. B. Anderson, J. Gray, A. Lukas, and E. Palti, “Heterotic Line Bundle Standard Models”, JHEP
2012
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M. Headrick and A. Nassar, “Energy functionals for Calabi-Yau metrics”, Adv. Theor. Math. Phys
2013
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2014
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2014
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2015
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2015
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2015
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2015
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S. Groot Nibbelin and F. Ruehle, “Line bundle embeddings for heterotic theories”, JHEP
2016
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2018
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J. McOrist, “On the Effective Field Theory of Heterotic Vacua”, Lett. Math. Phys
2018
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2018
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Lecture Notes in Mathematics. 5, 2021
Y.-H. He, The Calabi–Yau Landscape: From Geometry, to Physics, to Machine Learning · 2021
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https://github.com/yidiq7/MLGeometry
M. R. Douglas, S. Lakshminarasimhan, and Y. Qi, MLGeometry · 2021
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