We propose a paradigm to deep-learn the ever-expanding databases which have emerged
in mathematical physics and particle phenomenology, as diverse as the statistics of string …

A bstract In this work we systematically enumerate genus one fibrations in the class of 7, 890
Calabi-Yau manifolds defined as complete intersections in products of projective spaces, the …

Can artificial intelligence learn mathematics? The question is at the heart of this original
monograph bringing together theoretical physics, modern geometry, and data science. The …

We propose a paradigm to apply machine learning various databases which have emerged
in the study of the string landscape. In particular, we establish neural networks as both …

A complete analysis of all heterotic Calabi-Yau compactifications based on positive two-term
monad bundles over favourable complete intersection Calabi-Yau threefolds is performed …

A bstract We give the first numerical calculation of the spectrum of the Laplacian acting on
bundle-valued forms on a Calabi-Yau three-fold. Specifically, we show how to compute the …

In this paper, we study positive monad vector bundles on complete intersection Calabi-Yau
manifolds in the context of E 8× E 8 heterotic string compactifications. We show that the class …

In order to find novel examples of non-simply connected Calabi-Yau threefolds, free
quotients of complete intersections in products of projective spaces are classified by means …

Holomorphic gauge fields in N= 1 supersymmetri cheterotic compactifications can constrain
the complex structure moduli of a Calabi-Yau manifold. In this paper, the tools necessary to …

We derive an approximate analytic relation between the number of consistent heterotic
Calabi-Yau compactifications of string theory with the exact charged matter content of the …