Fermat.m swMATH ID: 37664 Software Authors: Matthew Headrick, Ali Nassar Description: Mathematica packages Fermat.m and psi.m: These packages implement the method for finding ”optimal” approximations to the Ricci-flat metric on an algebraic Calabi-Yau manifold, described in the paper ”Energy functionals for Calabi-Yau metrics” by myself and A. Nassar (arXiv: 0908.2635 [hep-th]). The use of these packages is illustrated in the notebook optimal.nb. If you want to look inside the packages (for example, to alter them for applications to a different set of Calabi-Yaus), you may find it useful to look at the set of notes strategy.pdf, which describes the calculations, and the notation used, in more detail. Homepage: http://people.brandeis.edu/~headrick/Mathematica/ Dependencies: Mathematica Related Software: Mathematica; Adam; JAX; GitHub; PyTorch; TensorFlow; SymPy; CICY Quotients; Calabi-Yau database; PALP; SDPB; STRINGVACUA; SINGULAR; Plural Cited in: 16 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Energy functionals for Calabi-Yau metrics. Zbl 1304.14050Headrick, Matthew; Nassar, Ali 2013 all top 5 Cited by 39 Authors 5 Anderson, Lara B. 3 Gray, James A. 3 Ovrut, Burt A. 2 Ashmore, Anthony 2 Braun, Volker 2 Lukas, André 1 Afkhami-Jeddi, Nima 1 Blesneag, Stefan 1 Buchbinder, Evgeny I. 1 Constantin, Andrei 1 Córdova, Clay 1 Cui, Wei 1 Deen, Rehan 1 Douglas, Michael R. 1 Gerdes, Mathis 1 Hall, Stuart James 1 He, Yang-Hui Evariste 1 Headrick, Matthew 1 Jejjala, Vishnu 1 Karkheiran, Mohsen 1 Karp, Robert L. 1 Kenton, Zachary 1 Krippendorf, Sven 1 Larfors, Magdalena 1 Lin, Ying-Hsuan 1 Magill, Matthew 1 Mayorga Peña, Damián Kaloni 1 Mishra, Challenger 1 Nassar, Ali 1 Palti, Eran 1 Raghuram, Nikhil 1 Ruehle, Fabian 1 Schneider, Robin 1 Shao, Shu-Heng 1 Simmons-Duffin, David 1 Thomas, Steven 1 Wang, Juntao 1 Wang, Yifan 1 Yin, Xi Cited in 5 Serials 12 Journal of High Energy Physics 1 Nuclear Physics. B 1 Physics Letters. B 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Advances in Theoretical and Mathematical Physics all top 5 Cited in 10 Fields 11 Quantum theory (81-XX) 8 Algebraic geometry (14-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Relativity and gravitational theory (83-XX) 3 Differential geometry (53-XX) 2 Computer science (68-XX) 1 Nonassociative rings and algebras (17-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) Citations by Year