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New Calabi–Yau manifolds from genetic algorithms
(2024-03-01)
Calabi–Yau manifolds can be obtained as hypersurfaces in toric varieties built from reflexive polytopes. We generate reflexive polytopes in various dimensions using a genetic algorithm. As a proof of principle, we demonstrate ...
Machine learning Sasakian and G<inf>2</inf> topology on contact Calabi-Yau 7-manifolds
(2024-03-01)
We propose a machine learning approach to study topological quantities related to the Sasakian and G2-geometries of contact Calabi-Yau 7-manifolds. Specifically, we compute datasets for certain Sasakian Hodge numbers and ...
Machine-learning dessins d’enfants: Explorations via modular and Seiberg–Witten curves
(2021-02-19)
We apply machine-learning to the study of dessins d’enfants. Specifically, we investigate a class of dessins which reside at the intersection of the investigations of modular subgroups, Seiberg–Witten (SW) curves and ...
Polytopes and machine learning
(World Scientific Publishing, 2023-12)
Cluster algebras: Network science and machine learning
(Elsevier, 2023-12)
Brain webs for brane webs
(2022-10-10)
We propose a new technique for classifying 5d Superconformal Field Theories arising from brane webs in Type IIB String Theory, using technology from Machine Learning to identify different webs giving rise to the same theory. ...
Some Open Questions in Quiver Gauge Theory
(2022-04-01)
Quivers, gauge theories and singular geometries are of great interest in both mathematics and physics. In this note, we collect a few open questions which have arisen in various recent works at the intersection between ...
Hilbert series, machine learning, and applications to physics
(2022-04-10)
We describe how simple machine learning methods successfully predict geometric properties from Hilbert series (HS). Regressors predict embedding weights in projective space to ∼1 mean absolute error, whilst classifiers ...
Quiver mutations, Seiberg duality, and machine learning
(2020-10-15)
We initiate the study of applications of machine learning to Seiberg duality, focusing on the case of quiver gauge theories, a problem also of interest in mathematics in the context of cluster algebras. Within the general ...
Dessins d’enfants, Seiberg-Witten curves and conformal blocks
(2021-05-01)
We show how to map Grothendieck’s dessins d’enfants to algebraic curves as Seiberg-Witten curves, then use the mirror map and the AGT map to obtain the corresponding 4d N = 2 supersymmetric instanton partition functions ...