Modular curves, the Tate-Shafarevich group and Gopakumar-Vafa invariants with discrete charges
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Publication:2087142
DOI10.1007/JHEP02(2022)007zbMath1504.81102arXiv2108.09311MaRDI QIDQ2087142
Publication date: 27 October 2022
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.09311
Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Relationships between algebraic curves and physics (14H81)
Related Items (4)
Twisted fibrations in M/F-theory ⋮ Topological strings on non-commutative resolutions ⋮ The discrete Green-Schwarz mechanism in 6D F-theory and elliptic genera of non-critical strings ⋮ On genus-0 invariants of Calabi-Yau hybrid models
Uses Software
Cites Work
- Exact results for \(N=2\) compactifications of heterotic strings
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- T-branes and geometry
- F-theory on genus-one fibrations
- Physics of F-theory compactifications without section
- A new construction of Calabi-Yau manifolds: generalized CICYs
- Some details on the Gopakumar-Vafa and Ooguri-Vafa formulas
- Monodromy of an inhomogeneous Picard-Fuchs equation
- Predictions for Gromov-Witten invariants of noncommutative resolutions
- Sums over topological sectors and quantization of Fayet-Iliopoulos parameters
- Monodromy of inhomogeneous Picard-Fuchs equations
- RR photons
- Special polynomial rings, quasi modular forms and duality of topological strings
- Non-birational twisted derived equivalences in abelian GLSMs
- Topological wave functions and heat equations
- Refined BPS invariants of 6d SCFTs from anomalies and modularity
- Discrete symmetries in Heterotic/F-theory duality and mirror symmetry
- Triples, fluxes, and strings
- Complete classification of reflexive polyhedra in four dimensions
- PALP: a package for analysing lattice polytopes with applications to toric geometry
- Worldsheet instantons, torsion curves and non-perturbative superpotentials
- Duality in two-dimensional \((2,2)\) supersymmetric non-abelian gauge theories
- Refined stable pair invariants for E-, M- and \([p,q\)-strings]
- Mordell-Weil lattices and Galois representation. I
- The theory of Jacobi forms
- Modular curves and Mordell-Weil torsion in F-theory
- Heterotic strings on \((K3 \times T^2)/ \mathbb{Z}_3\) and their dual Calabi-Yau threefolds
- An integral structure in quantum cohomology and mirror symmetry for toric orbifolds
- A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
- On the geometry of the string landscape and the swampland
- F-theory vacua with \(\mathbb{Z}_3\) gauge symmetry
- Topological strings and (almost) modular forms
- Topological gravity as large \(N\) topological gauge theory
- Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
- Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
- D-branes, \(B\) fields, and ext groups
- A stringy test of the fate of the conifold
- D-branes, derived categories, and Grothendieck groups
- Flops and derived categories.
- Tensionless strings and the weak gravity conjecture
- Mordell-Weil torsion in the mirror of multi-sections
- F-theory on quotient threefolds with (2,0) discrete superconformal matter
- Terminal singularities, Milnor numbers, and matter in F-theory
- T-branes at the limits of geometry
- Fibrations in CICY threefolds
- A stringy test of the scalar weak gravity conjecture
- Modular amplitudes and flux-superpotentials on elliptic Calabi-Yau fourfolds
- Hemisphere partition function and analytic continuation to the conifold point
- When rational sections become cyclic -- gauge enhancement in F-theory via Mordell-Weil torsion
- Topological strings on singular elliptic Calabi-Yau 3-folds and minimal 6d SCFTs
- 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
- Non-simply-laced symmetry algebras in F-theory on singular spaces
- Vertex algebras, mirror symmetry, and D-branes: the case of complex tori
- Compactifications of F-theory on Calabi-Yau threefolds. II
- Stable singularities in string theory (with an appendix by Mark Gross)
- Twisted 6d \((2, 0)\) SCFTs on a circle
- GV-spectroscopy for F-theory on genus-one fibrations
- BPS relations from spectral problems and blowup equations
- Symmetries in quantum field theory and quantum gravity
- Rank-2 attractors and Deligne's conjecture
- Analytic structure of all loop banana integrals
- Modular curves and the refined distance conjecture
- Deligne's conjecture and mirror symmetry
- Genus zero Gopakumar-Vafa invariants from open strings
- Anomaly equations and intersection theory
- 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
- Topological strings on elliptic fibrations
- Quantum geometry of elliptic Calabi-Yau manifolds
- Blowup equations for 6d SCFTs. I
- On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds
- Homological projective duality
- On discrete symmetries and torsion homology in F-theory
- F-theory on singular spaces
- Topological string on elliptic CY 3-folds and the ring of Jacobi forms
- Fricke S-duality in CHL models
- A one parameter family of Calabi-Yau manifolds with attractor points of rank two
- D-branes, categories and N=1 supersymmetry
- Derived categories of twisted sheaves on elliptic threefolds
- Strings of Minimal 6d SCFTs
- Rational Points on Varieties
- Pfaffian presentations of elliptic normal curves
- The Arithmetic of Elliptic Curves
- Elliptic Three-folds I: Ogg-Shafarevich Theory
- Homological Algebra of Mirror Symmetry
- Mirror symmetry for two-parameter models. II
- D-branes in a topologically nontrivial \(B\)-field
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