Generating functions for intersection products of divisors in resolved F-theory models

DOI10.1016/j.nuclphysb.2023.116177zbMath1523.81135arXiv2206.11527OpenAlexW4366779596MaRDI QIDQ6044925

Publication date: 25 May 2023

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.11527

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Supergravity (83E50) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Relationships between surfaces, higher-dimensional varieties, and physics (14J81) Fibrations, degenerations in algebraic geometry (14D06)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Box graphs and singular fibers
F-theory on genus-one fibrations
Anomaly cancellation and abelian gauge symmetries in F-theory
Effective action of 6D F-theory with $\mathrm{U}(1)$ factors: rational sections make Chern-Simons terms jump
Six-dimensional (1,0) effective action of F-theory via M-theory on Calabi-Yau threefolds
New orientifold weak coupling limits in F-theory
A note on G-fluxes for F-theory model building
Guts and exceptional branes in F-theory. II: Experimental predictions
Guts and exceptional branes in F-theory. I
$G_4$-flux, chiral matter and singularity resolution in F-theory compactifications
G-flux in F-theory and algebraic cycles
Tate's algorithm and F-theory
The ${\mathcal N}=1$ effective action of F-theory compactifications
Variétés kähleriennes dont la première classe de Chern est nulle
New aspects of heterotic-F-theory duality
Complete Kähler manifolds with zero Ricci curvature. II
The existence of elliptic fibre space structures on Calabi-Yau threefolds
Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces
Small instantons, del Pezzo surfaces and type I$^\prime$ theory
Calabi-Yau spaces and five-dimensional field theories and exceptional gauge symmetry
Anomaly cancelation in field theory and F-theory on a circle
On geometric classification of 5d SCFTs
Gauge backgrounds and zero-mode counting in F-theory
Algebraic cycles and local anomalies in F-theory
Comparing elliptic and toric hypersurface Calabi-Yau threefolds at large Hodge numbers
Modular amplitudes and flux-superpotentials on elliptic Calabi-Yau fourfolds
Structure in 6D and 4D $ \mathcal{N}=1 $ supergravity theories from F-theory
Extremal transitions and five-dimensional supersymmetric field theories
Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001
Evidence for F-theory
Comments on string dynamics in six dimensions
Phase transitions in M-theory and F-theory
Compactifications of F-theory on Calabi-Yau threefolds. I
Compactifications of F-theory on Calabi-Yau threefolds. II
Model building with $F$-theory
Non-flat elliptic four-folds, three-form cohomology and strongly coupled theories in four dimensions
Bootstrapping BPS spectra of 5d/6d field theories
Addendum to: Classifying 5d SCFTs via 6d SCFTs: rank one
5d superconformal field theories and graphs
Fibers add flavor. II: 5d SCFTs, gauge theories, and dualities
Swampland constraints on 5d $\mathcal{N} = 1$ supergravity
6d $\mathcal{N} = (1, 0)$ anomalies on $S^1$ and F-theory implications
5d SCFTs from decoupling and gluing
Yukawas, G-flux, and spectral covers from resolved Calabi-Yau's
Massive abelian gauge symmetries and fluxes in F-theory
Anomaly equations and intersection theory
Classifying $5d$ SCFTs via $6d$ SCFTs: arbitrary rank
Fibers add flavor. I: Classification of 5d SCFTs, flavor symmetries and BPS states
A note on non-flat points in the $ \mathrm{SU} (5) \times \mathrm{U}(1)_{\mathrm{PQ}} $ F-theory model
Euler characteristics of crepant resolutions of Weierstrass models
F-theory fluxes, chirality and Chern-Simons theories
Modèles minimaux des variétés abéliennes sur les corps locaux et globaux
On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds
$SU(5)$ tops with multiple $U(1)$s in F-theory
Conifold transitions in $M$-theory on Calabi-Yau fourfolds with background fluxes
On compact analytic surfaces. III
On compact analytic surfaces. II
Non-Higgsable clusters for 4D F-theory models
6D SCFTs and gravity
Classification of 5d $\mathcal{N} = 1$ gauge theories
Twisted circle compactifications of $6d$ SCFTs
On generalized Sethi-Vafa-Witten formulas
Deformations of elliptic Calabi--Yau manifolds
Algorithm for determining the type of a singular fiber in an elliptic pencil
Flux compactification
ON ALGEBRAIC FIBER SPACE STRUCTURES ON A CALABI-YAU 3-FOLD
Anomaly cancellation in six dimensions
Complete Kahler Manifolds with Zero Ricci Curvature. I
Geometric singularities and enhanced gauge symmetries
RR flux on Calabi-Yau and partial supersymmetry breaking
The Swampland: Introduction and Review

This page was built for publication: Generating functions for intersection products of divisors in resolved F-theory models