Toric bases for 6D F‐theory models
From MaRDI portal
Publication:4902871
DOI10.1002/prop.201200086zbMath1255.81210arXiv1204.0283OpenAlexW1987654266MaRDI QIDQ4902871
David R. Morrison, Washington IV Taylor
Publication date: 18 January 2013
Published in: Fortschritte der Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.0283
Relativistic cosmology (83F05) String and superstring theories in gravitational theory (83E30) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)
Related Items
Calabi-Yau threefolds with large \(h^{2,1}\), Physics of F-theory compactifications without section, A new construction of Calabi-Yau manifolds: generalized CICYs, Superconformal partition functions and non-perturbative topological strings, Large U(1) charges in F-theory, On the defect group of a 6D SCFT, Tate form and weak coupling limits in F-theory, Multiple fibrations in Calabi-Yau geometry and string dualities, Tools for CICYs in F-theory, Anomaly of strings of 6d \( \mathcal{N}=(1,0) \) theories, From strings in 6d to strings in 5d, A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua, Matter in transition, F-theory and \(2d (0, 2)\) theories, The arithmetic of elliptic fibrations in gauge theories on a circle, Three-index symmetric matter representations of \(SU(2)\) in F-theory from non-Tate form Weierstrass models, UV completions for non-critical strings, 6D RG flows and nilpotent hierarchies, F-theory and \( \mathcal{N} =1\) SCFTs in four dimensions, Non-Higgsable clusters for 4D F-theory models, 6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces, Three-family particle physics models from global F-theory compactifications, \(\mathbb{P}^1 \)-bundle bases and the prevalence of non-higgsable structure in 4D F-theory models, General \(\mathrm{U}(1)\times\mathrm{U}(1)\) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure, The F-theory geometry with most flux vacua, Heterotic line bundle models on elliptically fibered Calabi-Yau three-folds, 6D fractional quantum Hall effect, An infinite swampland of U(1) charge spectra in 6D supergravity theories, Fine tuning, sequestering, and the swampland, Large U(1) charges from flux breaking in 4D F-theory models, Data science applications to string theory, A database of Calabi-Yau orientifolds and the size of D3-tadpoles, On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds, Mirror symmetry and elliptic Calabi-Yau manifolds, Fibration structure in toric hypersurface Calabi-Yau threefolds, Tuned and non-Higgsable U(1)s in F-theory, Non-split singularities and conifold transitions in F-theory, Higher form symmetries TFT in 6d, Gauge symmetry breaking with fluxes and natural standard model structure from exceptional GUTs in F-theory, The desert and the swampland, SymTFTs and duality defects from 6d SCFTs on 4-manifolds, Bounds on Species Scale and the Distance Conjecture, Chiral matter multiplicities and resolution-independent structure in 4D F-theory models, Evolving neural networks with genetic algorithms to study the string landscape, F-theory and \(\mathrm{AdS}_{3}/CFT_{2}\), Intersecting brane models and F-theory in six dimensions, On exceptional instanton strings, E(lementary)-strings in six-dimensional heterotic F-theory, Dualities of deformed \( \mathcal{N}=2 \) SCFTs from link monodromy on D3-brane states, 6D SCFTs and phases of 5D theories, Machine learning in the string landscape, Non-geometric vacua of the Spin(32)/\({\mathbb{Z}}_2\) heterotic string and little string theories, Gauge backgrounds and zero-mode counting in F-theory, Exotic matter on singular divisors in F-theory, Fibrations in CICY threefolds, Trifectas for \(T_N\) in 5d, Nongeometric heterotic strings and dual F-theory with enhanced gauge groups, Comparing elliptic and toric hypersurface Calabi-Yau threefolds at large Hodge numbers, Automatic enhancement in 6D supergravity and F-theory models, Scanning the skeleton of the 4D F-theory landscape, On the scarcity of weak coupling in the string landscape, 6d string chains, Green-Schwarz automorphisms and 6D SCFTs, Refined BPS invariants of 6d SCFTs from anomalies and modularity, Singular geometry and Higgs bundles in string theory, 5d/6d DE instantons from trivalent gluing of web diagrams, Topological strings on singular elliptic Calabi-Yau 3-folds and minimal 6d SCFTs, Classifying global symmetries of 6D SCFTs, M-theory and orientifolds, Non-higgsable QCD and the standard model spectrum in F-theory, F-theory on all toric hypersurface fibrations and its Higgs branches, 6d conformal matter, A Calabi-Yau database: threefolds constructed from the Kreuzer-Skarke list, Complete intersection fibers in F-theory, Strong coupling in F-theory and geometrically non-Higgsable seven-branes, Bootstrapping ADE M-strings, Elliptic Calabi-Yau fivefolds and 2d (0,2) F-theory landscape, Classifying \(5d\) SCFTs via \(6d\) SCFTs: arbitrary rank, Vafa-Witten invariants from exceptional collections, On the Hodge structure of elliptically fibered Calabi-Yau threefolds, Structure in 6D and 4D \( \mathcal{N}=1 \) supergravity theories from F-theory, F-theory and the Mordell-Weil group of elliptically-fibered Calabi-Yau threefolds, 4D gauge theories with conformal matter, Determining F-theory matter via Gromov-Witten invariants, Four-dimensional \(N = 1\) theories, S-fold constraints on T-branes, and behaviors in IR and UV, On the tropical discs counting on elliptic K3 surfaces with general singular fibres, Spectral Covers, Integrality Conditions, and Heterotic/F-theory Duality, Sections, multisections, and U(1) fields in F-theory, Enhanced gauge symmetry in 6D F‐theory models and tuned elliptic Calabi‐Yau threefolds, On the elliptic Calabi-Yau fourfold with maximal \(h^{1,1}\), General F-theory models with tuned \((\mathrm{SU}(3) \times \mathrm{SU}(2) \times \mathrm{U}(1))/\mathbb{Z}_6\) symmetry, Elliptic blowup equations for 6d SCFTs. IV: Matters, Charge completeness and the massless charge lattice in F-theory models of supergravity, Gauged 2-form symmetries in 6D SCFTs coupled to gravity, Orders of vanishing and U(1) charges in F-theory, F-theory on 6D symmetric toroidal orbifolds
Cites Work
- Mapping 6D \( \mathcal{N} = 1 \) supergravities to F-theory
- Global aspects of the space of 6D \(\mathcal{N} = 1\) supergravities
- Charge lattices and consistency of 6D supergravity
- Tate's algorithm and F-theory
- Toric construction of global F-theory GUTs
- Complete classification of reflexive polyhedra in four dimensions
- Configurations of Kodaira fibers on rational elliptic surfaces
- Persson's list of singular fibers for a rational elliptic surface
- Zariski decomposition of divisors on algebraic varieties
- Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori
- Calabi-Yau 4-folds and toric fibrations
- Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theory
- A finiteness theorem for elliptic Calabi-Yau threefolds
- Point-like instantons on \(K3\) orbifolds
- Toric geometry and enhanced gauge symmetry of F-theory/heterotic vacua
- Vector bundles and \(F\) theory
- Calabi-Yau four-folds for \(M\)- and \(F\)-theory compactifications
- New string theories in six dimensions via branes at orbifold singularities
- Evidence for heterotic/heterotic duality
- Evidence for F-theory
- Comments on string dynamics in six dimensions
- Compactifications of F-theory on Calabi-Yau threefolds. I
- Compactifications of F-theory on Calabi-Yau threefolds. II
- Heterotic string/F-theory duality from mirror symmetry.
- The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface
- On compact analytic surfaces. II
- On minimal models of elliptic threefolds
- Flux compactification
- F THEORY VACUA IN FOUR DIMENSIONS AND TORIC THREEFOLDS
- Anomaly cancellation in six dimensions
