Mordell-Weil torsion in the mirror of multi-sections
From MaRDI portal
Publication:1636622
DOI10.1007/JHEP12(2016)031zbMath1390.81460arXiv1604.00011MaRDI QIDQ1636622
Paul-Konstantin Oehlmann, Jonas Reuter, Thorsten Schimannek
Publication date: 12 June 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.00011
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Relationships between surfaces, higher-dimensional varieties, and physics (14J81) Mirror symmetry (algebro-geometric aspects) (14J33)
Related Items
Tools for CICYs in F-theory ⋮ Non-simply-connected symmetries in 6D SCFTs ⋮ F-theory on quotient threefolds with (2,0) discrete superconformal matter ⋮ Mirror symmetry and elliptic Calabi-Yau manifolds ⋮ Twisted fibrations in M/F-theory ⋮ The discrete Green-Schwarz mechanism in 6D F-theory and elliptic genera of non-critical strings ⋮ The toric SO(10) F-theory landscape ⋮ Nongeometric heterotic strings and dual F-theory with enhanced gauge groups ⋮ The global gauge group structure of F-theory compactification with U(1)s ⋮ Discrete symmetries in Heterotic/F-theory duality and mirror symmetry ⋮ When rational sections become cyclic -- gauge enhancement in F-theory via Mordell-Weil torsion ⋮ GV-spectroscopy for F-theory on genus-one fibrations ⋮ An F-theory realization of the chiral MSSM with \(\mathbb{Z}_2\)-parity ⋮ Topological strings on genus one fibered Calabi-Yau 3-folds and string dualities ⋮ F-theory on quotients of elliptic Calabi-Yau threefolds ⋮ Modularity from monodromy ⋮ Enhanced gauge symmetry in 6D F‐theory models and tuned elliptic Calabi‐Yau threefolds ⋮ Discrete gauge groups in certain F-theory models in six dimensions ⋮ Modular curves and Mordell-Weil torsion in F-theory ⋮ Gauged 2-form symmetries in 6D SCFTs coupled to gravity ⋮ Modular curves, the Tate-Shafarevich group and Gopakumar-Vafa invariants with discrete charges ⋮ Notes on anomalies, elliptic curves and the BS-D conjecture
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- F-theory on genus-one fibrations
- Mordell-Weil torsion and the global structure of gauge groups in F-theory
- Yukawas and discrete symmetries in F-theory compactifications without section
- PALP: a package for analysing lattice polytopes with applications to toric geometry
- F-theory vacua with \(\mathbb{Z}_3\) gauge symmetry
- On type IIB vacua with varying coupling constant.
- Non-simply-connected gauge groups and rational points on elliptic curves
- The arithmetic of elliptic fibrations in gauge theories on a circle
- F-theory on all toric hypersurface fibrations and its Higgs branches
- Complete intersection fibers in F-theory
- F-theory and the Mordell-Weil group of elliptically-fibered Calabi-Yau threefolds
- Evidence for F-theory
- Compactifications of F-theory on Calabi-Yau threefolds. II
- Three-family particle physics models from global F-theory compactifications
- Towards the Standard Model in F-theory
- Sections, multisections, and U(1) fields in F-theory
- Introduction to Toric Varieties. (AM-131)
- On Calabi-Yau Complete Intersections in Toric Varieties
- Cohomology of line bundles: A computational algorithm
