119 citations · 767 across the 44 of their papers we have counts for
48 papers
Global Sections and Birational Geometry of Calabi-Yau Type Varieties
Andrei Constantin, Andre Lukas, Elijah Sheridan
We investigate aspects of the relationship between global sections of divisors and birational geometry. We show that for varieties of klt Calabi-Yau type, global sections are g…
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…
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…
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 strategy…
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…