9 papers
Calabi-Yau Metrics with Full Moduli Dependence
Andrei Constantin, Seung-Joo Lee, Andre Lukas +1
Recent advances in numerical and machine-learning methods have enabled highly accurate constructions of Ricci-flat metrics on compact Calabi-Yau three-folds. For phenomenological a…
CIPro Package: Complete Intersections in Products of Projective Spaces and Line Bundles
Lara B. Anderson, Andrei Constantin, James Gray +3
CIPro is a Mathematica package for constructing and analyzing complete intersections in products of projective spaces and line bundles over such varieties. It computes properties o…
Calabi-Yau Metrics with Kähler Moduli Dependence
Andrei Constantin, Andre Lukas, Luca A. Nutricati
We present a method to construct approximate analytic expressions for Ricci-flat Kähler metrics on Calabi-Yau threefolds with explicit dependence on the Kähler moduli. Our strate…
Statistical Patterns in the Equations of Physics and the Emergence of a Meta-Law of Nature
Andrei Constantin, Deaglan Bartlett, Harry Desmond +1
Physics seeks to uncover the laws of Nature and express them through mathematical equations. Despite the vast diversity of natural phenomena, physical equations exhibit structural…
Heterotic Flux Vacua with a Small Superpotential
Evgeny I. Buchbinder, Andrei Constantin, Lucas T. Y. Leung +2
We study heterotic Calabi--Yau compactifications with NSNS three-form flux in view of moduli stabilisation and investigate whether the value of the flux superpotential eval…
Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study
Andrei Constantin, Lucas T. -Y. Leung, Andre Lukas +1
Deriving the Yukawa couplings and the resulting fermion masses and mixing angles of the Standard Model (SM) from a more fundamental theory remains one of the central outstanding pr…