On toric duality:
Bo Feng, Amihay Hanany, Yang-Hui He, D-brane gauge theories from toric singularities and toric duality, Nucl. Phys. B 595 (2001) 165 (arXiv:hep-th/0003085)
Bo Feng, Amihay Hanany, Yang-Hui He, Phase structure of D-brane gauge theories and toric duality , J. High Energy Phys. 08 (2001) 040 (hep-th/0104259)
Bo Feng, Amihay Hanany, Yang-Hui He, Angel Uranga, Toric duality as Seiberg duality and brane diamonds, J. High Energy Phys. 12 (2001) 035 (hep-th/0109063)
Bo Feng, S. Franco, Amihay Hanany, Yang-Hui He, Unhiggsing the del Pezzo, J. High Energy Phys. 08 (2003) 058 (hep-th/0209228)
On discrete torsion:
On quiver gauge theories and D-branes:
Yang-Hui He, Lectures on D-branes, Gauge Theories and Calabi-Yau Singularities (arXiv:hep-th/0408142)
Yang-Hui He, Quiver Gauge Theories: Finitude and Trichotomoty, Mathematics 2018, 6(12), 291 (doi:10.3390/math6120291)
On quiver gauge theory and Donaldson-Thomas theory in heterotic string theory:
On NS5-branes and orientifolds with RR-field tadpole cancellation:
On exceptional structures (exceptional Lie algebras and sporadic finite simple groups) via del Pezzo surfaces:
On heterotic string theory string phenomenology and the landscape of string theory vacua:
Lara Anderson, Yang-Hui He, Andre Lukas, Heterotic Compactification, An Algorithmic Approach, JHEP 0707:049, 2007 (arXiv:hep-th/0702210)
Maxime Gabella, Yang-Hui He, Andre Lukas: An Abundance of Heterotic Vacua, Journal of High Energy Physics, 2008 JHEP12 (2008) [doi:10.1088/1126-6708/2008/12/027, arXiv:0808.2142]
(via stable vector bundles on Calabi-Yau 3-folds)
Andrei Constantin, Yang-Hui He, Andre Lukas, Counting String Theory Standard Models, Physics Letters B Volume 792, 10 May 2019, Pages 258-262 (arXiv:1810.00444)
Yang-Hui He, The Calabi-Yau Landscape: from Geometry, to Physics, to Machine-Learning (arXiv:1812.02893)
Yang-Hui He, Deep-learning the landscape, talk at String and M-Theory: The new geometry of the 21st century (pdf slides, video recording)
Yang-Hui He, Calabi-Yau Spaces in the String Landscape (arXiv:2006.16623)
Relating the abc conjecture to D=4 N=4 super Yang-Mills theory:
Application of machine learning to mathematical structures in algebraic geometry, representation theory, number theory, combinatorics and string theory:
reviewed in:
Yang-Hui He, Universes as Bigdata, talk at M-Theory and Mathematics 2020, NYU Abu Dhabi (Jan 2020) [slides: pdf, video: YT]
Yang-Hui He, Machine-Learning Mathematical Structures, talk at M-Theory and Mathematics 2023, NYU Abu Dhabi (Jan 2023) [slides: pdf, video: YT]
Discussion via machine learning of connections on heterotic line bundles over Calabi-Yau 3-folds:
On the rational homotopy of K3-surfaces in relation to the Mathieu group:
Last revised on September 24, 2025 at 06:43:43. See the history of this page for a list of all contributions to it.