Infinite distances in field space and massless towers of states

TW Grimm, E Palti, I Valenzuela - Journal of High Energy Physics, 2018 - Springer
A bstract It has been conjectured that in theories consistent with quantum gravity infinite
distances in field space coincide with an infinite tower of states becoming massless …

Engineering small flux superpotentials and mass hierarchies

B Bastian, TW Grimm, D van de Heisteeg - Journal of High Energy Physics, 2023 - Springer
A bstract We study the stabilization of complex structure moduli in Type IIB flux
compactifications by using recent general results about the form of the superpotential and …

Beyond large complex structure: quantized periods and boundary data for one-modulus singularities

B Bastian, D van de Heisteeg, L Schlechter - Journal of High Energy …, 2024 - Springer
A bstract We study periods in an integral basis near all possible singularities in one-
dimensional complex structure moduli spaces of Calabi-Yau threefolds. Near large complex …

Global symmetry-breaking and generalized theta-terms in Type IIB EFTs

TW Grimm, S Lanza, T van Vuren - Journal of High Energy Physics, 2023 - Springer
A bstract A longstanding conjecture states that global symmetries should be absent in
quantum gravity. By investigating large classes of Type IIB four-dimensional\(\mathcal {N}\) …

Special Lagrangian submanifolds of log Calabi–Yau manifolds

TC Collins, A Jacob, YS Lin - Duke Mathematical Journal, 2021 - projecteuclid.org
We study the existence of special Lagrangian submanifolds of log Calabi–Yau manifolds
equipped with the complete Ricci-flat Kähler metric constructed by Tian and Yau. We prove …

Charting the Complex Structure Landscape of F-theory

D van de Heisteeg - arXiv preprint arXiv:2404.03456, 2024 - arxiv.org
We explore the landscape of F-theory compactifications on Calabi--Yau fourfolds whose
complex structure moduli space is the thrice-punctured sphere. As a first part, we enumerate …

Modularity of Landau--Ginzburg models

C Doran, A Harder, L Katzarkov, M Ovcharenko… - arXiv preprint arXiv …, 2023 - arxiv.org
For each Fano threefold, we construct a family of Landau--Ginzburg models which satisfy
many expectations coming from different aspects of mirror symmetry; they are log Calabi …

Enumerative geometry and modularity in two-modulus K3-fibered Calabi-Yau threefolds

C Doran, B Pioline, T Schimannek - arXiv preprint arXiv:2408.02994, 2024 - arxiv.org
Motivated in part by the modular properties of enumerative invariants of K3-fibered Calabi-
Yau threefolds, we introduce a family of 39 Calabi-Yau mirror pairs $(X, Y) $ with $ h_ {1 …

Hirzebruch surfaces, Tyurin degenerations and toric mirrors: bridging generalized Calabi-Yau constructions

P Berglund, T Hübsch - arXiv preprint arXiv:2205.12827, 2022 - arxiv.org
There is a large number of different ways of constructing Calabi-Yau manifolds, as well as
related non-geometric formulations, relevant in string compactifications. Showcasing this …

PL density invariant for type II degenerating K3 surfaces, moduli compactification and hyper-Kähler metric

Y Odaka - Nagoya Mathematical Journal, 2022 - cambridge.org
A protagonist here is a new-type invariant for type II degenerations of K3 surfaces, which is
explicit piecewise linear convex function from the interval with at most nonlinear points …