Exact flux vacua, symmetries, and the structure of the landscape

TW Grimm, D van de Heisteeg - Journal of High Energy Physics, 2025 - Springer
A bstract Identifying flux vacua in string theory with stabilized complex structure moduli
presents a significant challenge, necessitating the minimization of a scalar potential …

The discrete Green-Schwarz mechanism in 6D F-theory and elliptic genera of non-critical strings

M Dierigl, PK Oehlmann, T Schimannek - Journal of High Energy Physics, 2023 - Springer
A bstract We study global anomalies of discrete gauge symmetries in six-dimensional
supergravities and their realizations in F-theory. We explicitly construct a discrete Green …

Twisted Fibrations in M/F-theory

LB Anderson, J Gray, PK Oehlmann - Journal of High Energy Physics, 2024 - Springer
A bstract In this work we investigate 5-dimensional theories obtained from M-theory on
genus one fibered threefolds which exhibit twisted algebras in their fibers. We provide a …

Topological Strings on Non-Commutative Resolutions

S Katz, A Klemm, T Schimannek, E Sharpe - … in Mathematical Physics, 2024 - Springer
In this paper we propose a definition of torsion refined Gopakumar–Vafa (GV) invariants for
Calabi–Yau threefolds with terminal nodal singularities that do not admit Kähler crepant …

Modular curves, the Tate-Shafarevich group and Gopakumar-Vafa invariants with discrete charges

T Schimannek - Journal of High Energy Physics, 2022 - Springer
A bstract We show that the stringy Kähler moduli space of a generic genus one curve of
degree N, for N≤ 5, is the Γ 1 (N) modular curve X 1 (N). This implies a correspondence …

Twisted elliptic genera

K Lee, K Sun, X Wang - Journal of High Energy Physics, 2024 - Springer
A bstract We study the twisted elliptic genera of 2d (0, 4) SCFTs associated with the BPS
strings in the twisted circle compactification of 6d rank-one (1, 0) SCFTs. Such objects can …

Analytic periods via twisted symmetric squares

R Álvarez-García, L Schlechter - Journal of High Energy Physics, 2022 - Springer
A bstract We study the symmetric square of Picard-Fuchs operators of genus one curves and
the thereby induced generalized Clausen identities. This allows the computation of analytic …

Modular curves and the refined distance conjecture

D Kläwer - Journal of High Energy Physics, 2021 - Springer
A bstract We test the refined distance conjecture in the vector multiplet moduli space of
4D\(\mathcal {N}\)= 2 compactifications of the type IIA string that admit a dual heterotic …

Large U (1) charges from flux breaking in 4D F-theory models

SY Li, W Taylor - Journal of High Energy Physics, 2023 - Springer
A bstract We study the massless charged spectrum of U (1) gauge fields in F-theory that
arise from flux breaking of a nonabelian group. The U (1) charges that arise in this way can …

Elliptic threefolds with high Mordell-Weil rank

A Grassi, T Weigand - arXiv preprint arXiv:2105.02863, 2021 - arxiv.org
We present the first examples of smooth elliptic Calabi-Yau threefolds with Mordell-Weil rank
10, the highest currently known value. They are given by the Schoen threefolds introduced …