Matter From Geometry

Abstract

We provide a local geometric description of how charged matter arises in type IIA, M-theory, or F-theory compactifications on Calabi-Yau manifolds. The basic idea is to deform a higher singularity into a lower one through Cartan deformations which vary over space. The results agree with expectations based on string dualities.

11 pages, Harvmac (b) mode

Cited by in corpus (165)

• Geometric Engineering of Quantum Field Theories
• GUTs and Exceptional Branes in F-theory - I
• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• Atomic Classification of 6D SCFTs
• Lectures on F-theory compactifications and model building
• Small Instantons, del Pezzo Surfaces and Type I' theory
• T-Branes and Monodromy
• Codimension-3 Singularities and Yukawa Couplings in F-theory
• Particle Physics Implications of F-theory
• Point-like Instantons on K3 Orbifolds
• Yukawas, G-flux, and Spectral Covers from Resolved Calabi-Yau's
• Matter and singularities
• Flavor Hierarchy From F-theory
• M theory and Singularities of Exceptional Holonomy Manifolds
• G_4 flux, chiral matter and singularity resolution in F-theory compactifications
• G-flux in F-theory and algebraic cycles
• Geometric Engineering of N=1 Quantum Field Theories
• Anomaly Equations and Intersection Theory
• F-theory fluxes, Chirality and Chern-Simons theories
• Tate's algorithm and F-theory
• Models of Particle Physics from Type IIB String Theory and F-theory: A Review
• Chiral Four-Dimensional F-Theory Compactifications With SU(5) and Multiple U(1)-Factors
• 6D SCFTs and Phases of 5D Theories
• Fibers add Flavor, Part I: Classification of 5d SCFTs, Flavor Symmetries and BPS States
• On hypercharge flux and exotics in F-theory GUTs
• Topological Strings and Nekrasov's formulas
• Top Down Approach to 6D SCFTs
• Six-dimensional (1,0) effective action of F-theory via M-theory on Calabi-Yau threefolds
• Froggatt-Nielsen models from E8 in F-theory GUTs
• Topological strings and 5d T_N partition functions
• Mapping 6D N = 1 supergravities to F-theory
• Flavor Structure in F-theory Compactifications
• Massive Abelian Gauge Symmetries and Fluxes in F-theory
• T-Branes and Geometry
• Elliptic Fibrations with Rank Three Mordell-Weil Group: F-theory with U(1) x U(1) x U(1) Gauge Symmetry
• Box Graphs and Singular Fibers
• The Tate Form on Steroids: Resolution and Higher Codimension Fibers
• Chiral matter and transitions in heterotic string models
• Gauge Mediation in F-Theory GUT Models
• More on Dimension-4 Proton Decay Problem in F-theory -- Spectral Surface, Discriminant Locus and Monodromy
• F-theory, Geometric Engineering and N=1 Dualities
• The Point of E_8 in F-theory GUTs
• Right-handed Neutrinos in F-theory Compactifications
• Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations
• On the Hodge structure of elliptically fibered Calabi-Yau threefolds
• Higher Symmetries of 5d Orbifold SCFTs
• 6D supergravity without tensor multiplets
• Universal Features of BPS Strings in Six-dimensional SCFTs
• Matter wave functions and Yukawa couplings in F-theory Grand Unification
• Low-Scale Closed Strings and their Duals
• Terminal Singularities, Milnor Numbers, and Matter in F-theory
• Three-Family Particle Physics Models from Global F-theory Compactifications
• Gauge Fluxes in F-theory and Type IIB Orientifolds
• Matter From Geometry Without Resolution
• F-theory, GUTs, and the Weak Scale
• 0-Form, 1-Form and 2-Group Symmetries via Cutting and Gluing of Orbifolds
• F-theory and Neutrinos: Kaluza-Klein Dilution of Flavor Hierarchy
• Scanning the skeleton of the 4D F-theory landscape
• Non-Higgsable clusters for 4D F-theory models
• Spacetime as a topological insulator: Mechanism for the origin of the fermion generations
• Fission, Fusion, and 6D RG Flows
• The frozen phase of F-theory
• Calabi-Yau threefolds with large h^{2, 1}
• Global SO(10) F-theory GUTs
• ${\mathbb{P}}^1$-bundle bases and the prevalence of non-Higgsable structure in 4D F-theory models
• A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua
• Structure in 6D and 4D N=1 supergravity theories from F-theory
• Phases, Flops and F-theory: SU(5) Gauge Theories
• An Exceptional Sector for F-theory GUTs
• Geometric transitions, Chern-Simons gauge theory and Veneziano type amplitudes
• Non-Higgsable QCD and the Standard Model Spectrum in F-theory
• A Note on Local GUT Models in F-Theory
• Yukawa couplings and fermion mass structure in F-theory GUTs
• Seiberg-Witten Geometries Revisited
• Matter From G(2) Manifolds
• UV Completions for Non-Critical Strings
• T-Branes at the Limits of Geometry
• Fluxes in F-theory Compactifications on Genus-One Fibrations
• Massive wavefunctions, proton decay and FCNCs in local F-theory GUTs
• Multiple Fibrations in Calabi-Yau Geometry and String Dualities
• Chiral matter wavefunctions in warped compactifications
• Wavefunctions and the Point of E8 in F-theory
• Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds
• 4d N=2 Gauge Theories and Quivers: the Non-Simply Laced Case
• T-branes and Yukawa Couplings
• Evidence for F(uzz) Theory
• SU(3) x SU(2) x U(1) Vacua in F-Theory
• Flipped SU(5) GUTs from E_8 Singularities in F-theory
• Five-Dimensional Gauge Theories and Local Mirror Symmetry
• Three Dimensional N=2 Gauge Theories and Degenerations of Calabi-Yau Four-Folds
• Reflections on the Matter of 3d $\mathcal{N}=1$ Vacua and Local $Spin(7)$ Compactifications
• Towards Exotic Matter and Discrete Non-Abelian Symmetries in F-theory
• Two 6d origins of 4d SCFTs: class $\mathcal{S}$ and 6d (1,0) on a torus
• Higgs Bundles for M-theory on $G_2$-Manifolds
• Discrete Gauge Groups in F-theory Models on Genus-One Fibered Calabi-Yau 4-folds without Section
• Non-Simply-Connected Symmetries in 6D SCFTs
• Heterotic T-fects, 6D SCFTs, and F-Theory
• Effective action from M-theory on twisted connected sum $G_2$-manifolds
• Large U(1) charges in F-theory
• Exotic matter on singular divisors in F-theory
• On F-theory E_6 GUTs
• The Noether-Lefschetz Problem and Gauge-Group-Resolved Landscapes: F-Theory on K3 x K3 as a Test Case
• Gauge Theories with Tensors from Branes and Orientifolds
• Three-Index Symmetric Matter Representations of SU(2) in F-Theory from Non-Tate Form Weierstrass Models
• The Conformal Sector of F-theory GUTs
• The Geometry of the SU(2)$\times$ G${}_2$-model
• Abelian F-theory Models with Charge-3 and Charge-4 Matter
• Towards the MSSM from F-theory
• Learning non-Higgsable gauge groups in 4D F-theory
• F-theory Family Unification
• Comparing elliptic and toric hypersurface Calabi-Yau threefolds at large Hodge numbers
• Statistics of Flux Vacua for Particle Physics
• Towards Generalized Mirror Symmetry for Twisted Connected Sum $G_2$ Manifolds
• Abelian Gauge Fluxes and Local Models in F-Theory
• GUT theories from Calabi-Yau 4-folds with SO(10) Singularities
• The Toric SO(10) F-Theory Landscape
• High electric charges in M-theory from quiver varieties
• Manifolds of G_2 Holonomy from N=4 Sigma Model
• Modular Curves and Mordell-Weil Torsion in F-theory
• Gauge Groups and Matter Fields on Some Models of F-theory without Section
• Matter in transition
• F-theory and linear sigma models
• Weak Mixing Angle and Proton Stability in F-theory GUT
• On Singular Fibres in F-Theory
• Exploring the orthosymplectic zoo
• Charge completeness and the massless charge lattice in F-theory models of supergravity
• General F-theory models with tuned $(\mathrm{SU}(3)\times \mathrm{SU}(2)\times U(1))/{\mathbb{Z}}_6$ symmetry
• Chiral Compactifications of 6D Conformal Theories
• Neutrino mixing and mass hierarchy in Gaussian landscapes
• Automatic Enhancement in 6D Supergravity and F-theory Models
• On N=1 gauge models from geometric engineering in M-theory
• Extended Gauge Symmetries in F-theory
• E(lementary) Strings in Six-Dimensional Heterotic F-Theory
• U(n) Spectral Covers from Decomposition
• On the Standard Model Group in F-theory
• K3 surfaces without section as double covers of Halphen surfaces, and F-theory compactifications
• Deformations of $W_{A,D,E}$ SCFTs
• Unification in Intersecting Brane Models
• F-theory models with 3 to 8 U(1) factors on K3 surfaces
• $6$D Anomaly-Free Matter Spectrum in F-theory on Singular Spaces
• On finiteness of Type IIB compactifications: Magnetized branes on elliptic Calabi-Yau threefolds
• Intersecting Brane World from Type I Compactification
• The Condensate from Torus Knots
• Geometrically Engineering the Standard Model: Locally Unfolding Three Families out of E8
• Evidence for an Algebra of ${\mathbf{G}}_2$ Instantons
• On Local F-theory Geometries and Intersecting D7-branes
• Constraints on GUT 7-brane Topology in F-theory
• A Note on Kahler Potential of Charged Matter in F-theory
• Yukawa Hierarchies in Global F-theory Models
• Gauge symmetry breaking with fluxes and natural Standard Model structure from exceptional GUTs in F-theory
• Half-hypermultiplets and incomplete/complete resolutions in F-theory
• Magic square and half-hypermultiplets in F-theory
• Large U(1) charges from flux breaking in 4D F-theory models
• M-theory on G_2 manifolds and the method of (p,q) brane webs
• Atomic Higgsings of 6D SCFTs
• Quark and lepton mass matrices from localization in M-theory on $G_2$ orbifold
• Orders of Vanishing and U(1) Charges in F-theory
• A domain wall in twisted M-theory
• Multiple Unfoldings of Orbifold Singularities: Engineering Geometric Analogies to Unification
• Geometric Engineering of Seiberg-Witten Theories with Massive Hypermultiplets
• Non-split singularities and conifold transitions in F-theory
• F-theory and N=1 Quivers from Polyvalent Geometry
• M-Theory Phenomenology and See-Saw Mechanisms
• A Perfectoid Duality Between M-Theory and F-Theory
• Reflexions on Mahler: Dessins, Modularity and Gauge Theories