GUTs and Exceptional Branes in F-theory - I

Abstract

Motivated by potential phenomenological applications, we develop the necessary tools for building GUT models in F-theory. This approach is quite flexible because the local geometrical properties of singularities in F-theory compactifications encode the physical content of the theory. In particular, we show how geometry determines the gauge group, matter content and Yukawa couplings of a given model. It turns out that these features are beautifully captured by a four-dimensional topologically twisted N=4 theory which has been coupled to a surface defect theory on which chiral matter can propagate. From the vantagepoint of the four-dimensional topological theory, these defects are surface operators. Specific intersection points of these defects lead to Yukawa couplings. We also find that the unfolding of the singularity in the F-theory geometry precisely matches to properties of the topological theory with a defect.

v2: 121 pages, 5 figures, reference and clarification added

References in corpus (4)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Progress in D-brane model building
• Cascading to the MSSM
• D-branes at Singularities and String Phenomenology

Cited by in corpus (347)

• Naturally Light Hidden Photons in LARGE Volume String Compactifications
• Atomic Classification of 6D SCFTs
• 6d Conformal Matter
• Lectures on F-theory compactifications and model building
• SUSY Breaking in Local String/F-Theory Models
• Global F-theory GUTs
• T-Branes and Monodromy
• F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches
• Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
• On Abelian Gauge Symmetries and Proton Decay in Global F-theory GUTs
• Abelian Hidden Sectors at a GeV
• The N=1 effective action of F-theory compactifications
• Particle Physics Implications of F-theory
• Matter and singularities
• Gauge Coupling Unification in F-theory GUT Models
• G_4 flux, chiral matter and singularity resolution in F-theory compactifications
• G-flux in F-theory and algebraic cycles
• N=3 four dimensional field theories
• Exotic Branes in String Theory
• The Dark Dimension and the Swampland
• F-theory fluxes, Chirality and Chern-Simons theories
• Anomaly Equations and Intersection Theory
• Tate's algorithm and F-theory
• F-Theory Compactifications with Multiple U(1)-Factors: Constructing Elliptic Fibrations with Rational Sections
• Compact F-theory GUTs with U(1)_PQ
• De Sitter from T-branes
• F-Theory GUT Vacua on Compact Calabi-Yau Fourfolds
• Chiral Four-Dimensional F-Theory Compactifications With SU(5) and Multiple U(1)-Factors
• Geometric Engineering in Toric F-Theory and GUTs with U(1) Gauge Factors
• On hypercharge flux and exotics in F-theory GUTs
• Flipped SU(5) X U(1)_X Models from F-Theory
• Physics of F-theory compactifications without section
• Anomaly Cancellation And Abelian Gauge Symmetries In F-theory
• Magnetized E3-brane instantons in F-theory
• F-theory Compactifications for Supersymmetric GUTs
• Discrete gauge symmetries in D-brane models
• Froggatt-Nielsen models from E8 in F-theory GUTs
• Interpretation of the diphoton excess at CMS and ATLAS
• Non-perturbative effects on seven-brane Yukawa couplings
• Flavor Structure in F-theory Compactifications
• Global F-theory Models: Instantons and Gauge Dynamics
• U(1) symmetries in F-theory GUTs with multiple sections
• Towards Realistic String Vacua From Branes At Singularities
• SU(5) Tops with Multiple U(1)s in F-theory
• Life at the Interface of Particle Physics and String Theory
• 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
• Moduli Stabilisation for Chiral Global Models
• The Tate Form on Steroids: Resolution and Higher Codimension Fibers
• Elliptic fibrations for SU(5) x U(1) x U(1) F-theory vacua
• F-theory uplifts and GUTs
• New supersymmetric AdS4 type II vacua
• From Local to Global in F-Theory Model Building
• Gauge Mediation in F-Theory GUT Models
• New F-theory lifts II: Permutation orientifolds and enhanced singularities
• All Complete Intersection Calabi-Yau Four-Folds
• More on Dimension-4 Proton Decay Problem in F-theory -- Spectral Surface, Discriminant Locus and Monodromy
• 6D RG Flows and Nilpotent Hierarchies
• Computing Brane and Flux Superpotentials in F-theory Compactifications
• M2-brane surface operators and gauge theory dualities in Toda
• Right-handed Neutrinos in F-theory Compactifications
• The Point of E_8 in F-theory GUTs
• Family symmetries in F-theory GUTs
• On Fluxed Instantons and Moduli Stabilisation in IIB Orientifolds and F-theory
• D3/D7 Branes at Singularities: Constraints from Global Embedding and Moduli Stabilisation
• Toric K3-Fibred Calabi-Yau Manifolds with del Pezzo Divisors for String Compactifications
• On Instanton Effects in F-theory
• F-theory GUTs with U(1) Symmetries: Generalities and Survey
• A Shift Symmetry in the Higgs Sector: Experimental Hints and Stringy Realizations
• Matter wave functions and Yukawa couplings in F-theory Grand Unification
• Terminal Singularities, Milnor Numbers, and Matter in F-theory
• Perturbative moduli stabilisation in type IIB/F-theory framework
• F-theory and Dark Energy
• Aspects of Flavour and Supersymmetry in F-theory GUTs
• Matter From Geometry Without Resolution
• Three-Family Particle Physics Models from Global F-theory Compactifications
• Gauge Fluxes in F-theory and Type IIB Orientifolds
• F-theory, GUTs, and the Weak Scale
• New Orientifold Weak Coupling Limits in F-theory
• Flux and Instanton Effects in Local F-theory Models and Hierarchical Fermion Masses
• Heterotic Z6-II MSSM Orbifolds in Blowup
• Hypercharge Flux, Exotics, and Anomaly Cancellation in F-theory GUTs
• The FL bound and its phenomenological implications
• Baryon and Dark Matter Genesis from Strongly Coupled Strings
• The Orbifolder: A Tool to study the Low Energy Effective Theory of Heterotic Orbifolds
• The Higgs mass from a String-Theoretic Perspective
• Pixelated Dark Energy
• F-theory and Neutrinos: Kaluza-Klein Dilution of Flavor Hierarchy
• On Gauge Threshold Corrections for Local IIB/F-theory GUTs
• General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure
• On Flux Quantization in F-Theory
• Logarithmic loop corrections, moduli stabilisation and de Sitter vacua in string theory
• Elements of F-ast Proton Decay
• Non-Higgsable clusters for 4D F-theory models
• A_4xSU(5) SUSY GUT of Flavour in 8d
• The F-theory geometry with most flux vacua
• Spacetime as a topological insulator: Mechanism for the origin of the fermion generations
• Global SO(10) F-theory GUTs
• Toric Construction of Global F-Theory GUTs
• ${\mathbb{P}}^1$-bundle bases and the prevalence of non-Higgsable structure in 4D F-theory models
• F-theory and All Things Rational: Surveying U(1) Symmetries with Rational Sections
• D-branes at Toric Singularities: Model Building, Yukawa Couplings and Flavour Physics
• Gauge Threshold Corrections for Local String Models
• The Constrained Minimal Dirac Gaugino Supersymmetric Standard Model
• Zp charged branes in flux compactifications
• A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua
• F-theory and 2d (0,2) Theories
• Axion Inflation in F-theory
• Open String Wavefunctions in Warped Compactifications
• Geometric constraints in dual F-theory and heterotic string compactifications
• The Ultra-High Jet Multiplicity Signal of Stringy No-Scale F-SU(5) at the \sqrt{s} = 7 TeV LHC
• The Intermediate Scale MSSM, the Higgs Mass and F-theory Unification
• N = 1 SCFTs from Brane Monodromy
• A Note on G-Fluxes for F-theory Model Building
• The Standard Model Quiver in de Sitter String Compactifications
• Up-type quark masses in SU(5) F-theory models
• Structure in 6D and 4D N=1 supergravity theories from F-theory
• An Exceptional Sector for F-theory GUTs
• The anomaly that was not meant IIB
• 4D Gauge Theories with Conformal Matter
• The Vertical, the Horizontal and the Rest: anatomy of the middle cohomology of Calabi-Yau fourfolds and F-theory applications
• Dynamical Tadpoles, Stringy Cobordism, and the SM from Spontaneous Compactification
• Gauge Threshold Corrections for Local Orientifolds
• Non-Higgsable QCD and the Standard Model Spectrum in F-theory
• Yukawa couplings and fermion mass structure in F-theory GUTs
• The Footprint of F-theory at the LHC
• T-Branes at the Limits of Geometry
• UV Completions for Non-Critical Strings
• Non-perturbative effects and Yukawa hierarchies in F-theory SU(5) Unification
• F-theoretic vs microscopic description of a conformal N=2 SYM theory
• Hitchin's Equations and M-Theory Phenomenology
• Hypercharge flux in F-theory and the stable Sen limit
• Massive wavefunctions, proton decay and FCNCs in local F-theory GUTs
• Three Looks at Instantons in F-theory -- New Insights from Anomaly Inflow, String Junctions and Heterotic Duality
• Dark Matter, Proton Decay and Other Phenomenological Constraints in $\mathcal{F}$-SU(5)
• Systematics of the ${\alpha }^{\prime }$ Expansion in F-Theory
• Neutron Majorana mass from exotic instantons
• Gauge Backgrounds and Zero-Mode Counting in F-Theory
• SU(5) orientifolds, Yukawa couplings, Stringy Instantons and Proton Decay
• Intersecting Surface Defects and Two-Dimensional CFT
• Rigid D6-branes on T6/[Z(2)xZ(2M)xOmegaR] with discrete torsion
• Unification and Phenomenology of F-Theory GUTs with U(1)_PQ
• Chiral matter wavefunctions in warped compactifications
• Wavefunctions and the Point of E8 in F-theory
• Gauge Coupling Unification in E6 F-Theory GUTs with Matter and Bulk Exotics from Flux Breaking
• Towards a Systematic Construction of Realistic D-brane Models on a del Pezzo Singularity
• Type II/F-theory Superpotentials with Several Deformations and N=1 Mirror Symmetry
• F-GUTs with Mordell-Weil U(1)'s
• Fluxes and Warping for Gauge Couplings in F-theory
• A Global SU(5) F-theory model with Wilson line breaking
• CP Violation and F-theory GUTs
• The Generalized Green-Schwarz Mechanism for Type IIB Orientifolds with D3- and D7-Branes
• Rational F-Theory GUTs without exotics
• Fast Proton Decay
• Gauge coupling flux thresholds, exotic matter and the unification scale in F-SU(5) GUT
• T-branes and Yukawa Couplings
• An Instanton Toolbox for F-Theory Model Building
• Evidence for F(uzz) Theory
• Generalizing Minimal Supergravity
• Yukawa hierarchies at the point of $E_8$ in F-theory
• SU(3) x SU(2) x U(1) Vacua in F-Theory
• Flipped SU(5) GUTs from E_8 Singularities in F-theory
• E6 Models from F-theory
• Towards the Standard Model in F-theory
• There and back again: A T-brane's tale
• On the computation of non-perturbative effective potentials in the string theory landscape -- IIB/F-theory perspective
• Algebraic Cycles and Local Anomalies in F-Theory
• Toric Methods in F-theory Model Building
• Dirac gauginos and unification in F-theory
• Moduli stabilization and SUSY breaking in heterotic orbifold string models
• Towards a Realistic F-theory GUT
• Reflections on the Matter of 3d $\mathcal{N}=1$ Vacua and Local $Spin(7)$ Compactifications
• Searching for the Standard Model in the String Landscape : SUSY GUTs
• Tate Form and Weak Coupling Limits in F-theory
• Supersymmetry Breaking Scalar Masses and Trilinear Soft Terms in Generalized Minimal Supergravity
• An F-theory Realization of the Chiral MSSM with ${\mathbb{Z}}_2$-Parity
• The Cremmer-Scherk Mechanism in F-theory Compactifications on K3 Manifolds
• SUSY enhancement from T-branes
• Fluxbrane Inflation
• Discrete Gauge Groups in F-theory Models on Genus-One Fibered Calabi-Yau 4-folds without Section
• Higgs Bundles for M-theory on $G_2$-Manifolds
• SU(5) and SO(10) Models from F-Theory with Natural Yukawa Couplings
• Enhancements in F-theory models on moduli spaces of K3 surfaces with $ADE$ rank 17
• E6 grand unified theory with three generations from heterotic string
• Asymmetric Gepner Models (Revisited)
• Discrete Family Symmetry from F-Theory GUTs
• The Noether-Lefschetz Problem and Gauge-Group-Resolved Landscapes: F-Theory on K3 x K3 as a Test Case
• Blueprints of the No-Scale Multiverse at the LHC
• Tate's Algorithm for F-theory GUTs with two U(1)s
• On F-theory E_6 GUTs
• The Potential Fate of Local Model Building
• Super No-Scale F-SU(5): A Dynamic Determination of M_{1/2} and tan beta
• Discrete gauge groups in certain F-theory models in six dimensions
• Seeing through the String Landscape - a String Hunter's Companion in Particle Physics and Cosmology
• The Conformal Sector of F-theory GUTs
• Cosmology of F-theory GUTs
• Computing the Spectrum of a Heterotic Flux Vacuum
• Towards the MSSM from F-theory
• T-branes and ${\alpha }^{\prime }$-corrections
• Statistics of Flux Vacua for Particle Physics
• Non-Geometric F-Theory-Heterotic Duality
• F-theory Family Unification
• Nongeometric heterotic strings and dual F-theory with enhanced gauge groups
• Warped Kaluza-Klein Dark Matter
• Global embeddings for branes at toric singularities
• Abelian Gauge Fluxes and Local Models in F-Theory
• Compact T-branes
• The Toric SO(10) F-Theory Landscape
• Model building with intersecting D6-branes on smooth Calabi-Yau manifolds
• GUT theories from Calabi-Yau 4-folds with SO(10) Singularities
• A Realistic Intersecting D6-Brane Model after the First LHC Run
• Gauge Groups and Matter Fields on Some Models of F-theory without Section
• Supersymmetry Breaking and the Cosmological Constant
• Non-simply-laced Lie algebras via F theory strings
• Detectable and defect-free dark photon dark matter
• On low-energy predictions of unification models inspired by F-theory
• Non-Cartan Mordell-Weil lattices of rational elliptic surfaces and heterotic/F-theory compactifications
• New Global F-theory GUTs with U(1) symmetries
• The NMSSM with F-theory unified boundary conditions
• Experimental targets for dark photon dark matter
• The Lightest CP-Even Higgs Boson Mass in the Testable Flipped SU(5) x U(1)_X Models from F-Theory
• Cohomology of Line Bundles: Applications
• F-Theory Grand Unification at the Colliders
• E6,7,8 Magnetized Extra Dimensional Models
• On Singular Fibres in F-Theory
• F-theory models on K3 surfaces with various Mordell-Weil ranks -constructions that use quadratic base change of rational elliptic surfaces
• Higgs Mass and Muon $g-2$ Anomaly in MSSM with Gauge-Gravity hybrid Mediation
• Heterotic E6 GUTs and Partition Functions
• Weak Mixing Angle and Proton Stability in F-theory GUT
• Root Bundles and Towards Exact Matter Spectra of F-theory MSSMs
• Rigour and Rigidity: Systematics on particle physics D6-brane models on Z(2)xZ(6)
• Building SO(10) models from F-theory
• Light Higgsinos as Heralds of Higher-Dimensional Unification
• General F-theory models with tuned $(\mathrm{SU}(3)\times \mathrm{SU}(2)\times U(1))/{\mathbb{Z}}_6$ symmetry
• On the GUT scale of F-Theory SU(5)
• Fitting fermion masses and mixings in F-theory GUTs
• Supersymmetry Breaking Scalar Masses and Trilinear Soft Terms From High-Dimensional Operators in E_6 SUSY GUT
• On Global Flipped SU(5) GUTs in F-theory
• On the Scarcity of Weak Coupling in the String Landscape
• F-theory and the Witten Index
• Precision Gauge Unification from Extra Yukawa Couplings
• Sterile neutrinos, $0\nu \beta \beta$ decay and the W-boson mass anomaly in a Flipped $SU(5)$ from F-theory
• Precision Unification and Proton Decay in F-Theory GUTs with High Scale Supersymmetry
• Toric Lego: A method for modular model building
• U-folds as K3 fibrations
• Supergravity in Twelve Dimension
• E(lementary) Strings in Six-Dimensional Heterotic F-Theory
• Supersymmetric three family chiral SU(6) grand unification model from F-theory
• $E_6$ Yukawa couplings in F-theory as D-brane instanton effects
• Flux-induced Soft Terms on Type IIB/F-theory Matter Curves and Hypercharge Dependent Scalar Masses
• Extended Gauge Symmetries in F-theory
• A new CY elliptic fibration and tadpole cancellation
• F-theory and the LHC: Stau Search
• On the LHC signatures of $SU(5)\times U(1{)}^{\prime }$ F-theory motivated models
• Type IIB Flux Vacua from M-theory via F-theory
• NS5-Branes and Line Bundles in Heterotic/F-Theory Duality
• Gauge theories from D7-branes over vanishing 4-cycles
• Gauged supergravities and their symmetry-breaking vacua in F-theory
• Comments on Flipped SU(5) (and F-theory)
• F-theory inspired GUTs with extra charged matter
• Nilpotent Networks and 4D RG Flows
• Completing the D7-brane local gaugino action
• Weierstrass meets Enriques
• K3 surfaces without section as double covers of Halphen surfaces, and F-theory compactifications
• One-loop Yukawa Couplings in Local Models
• Exploring a new peak in the heterotic landscape
• On the Standard Model Group in F-theory
• Holomorphic Couplings In Non-Perturbative String Compactifications
• 6D Effective Action of Heterotic Compactification on K3 with nontrivial Gauge Bundles
• Z' from SU(6)$\times$SU(2)_h GUT, Wjj anomaly and Higgs boson mass bound
• Twelve-dimensional Effective Action and T-duality
• Local $G_2$-Manifolds, Higgs Bundles and a Colored Quantum Mechanics
• General Gauge and Anomaly Mediated Supersymmetry Breaking in Grand Unified Theories with Vector-Like Particles
• Geometric Unification of Higgs Bundle Vacua
• F-theory models with 3 to 8 U(1) factors on K3 surfaces
• Generic construction of the Standard Model gauge group and matter representations in F-theory
• Basics of F-theory from the Type IIB Perspective
• F-theory models with $U(1)\times {\mathbb{Z}}_2,{\mathbb{Z}}_4$ and transitions in discrete gauge groups
• On finiteness of Type IIB compactifications: Magnetized branes on elliptic Calabi-Yau threefolds
• The String Landscape: On Formulas for Counting Vacua
• A Note on Non-Flat Points in the $SU(5)\times U(1)$ PQ F-Theory Model
• SU(N) transitions in M-theory on Calabi-Yau fourfolds and background fluxes
• Unification, KK-thresholds and the top Yukawa coupling in F-theory GUTs
• R-Parity violation in F-Theory
• Heterotic/Heterotic and Heterotic/F-theory Duality
• From Type II string theory towards BSM/dark sector physics
• Realistic Standard Model Fermion Mass Relations in Generalized Minimal Supergravity (GmSUGRA)
• Rare B decays in the flip SU(5) Model
• MSSM from F-theory SU(5) with Klein Monodromy
• The String Origin of SUSY Flavor Violation
• Natural F-theory constructions of Standard Model structure from $E_7$ flux breaking
• Geometric Approach to 3D Interfaces at Strong Coupling
• Generalized Toric Polygons, T-branes, and 5d SCFTs
• F-theory Yukawa Couplings and Supersymmetric Quantum Mechanics
• Gauge mediation to effective SUSY through U(1)s with a dynamical SUSY breaking, and string compactification
• D-brane Inspired Fermion Mass Textures
• Constraints on GUT 7-brane Topology in F-theory
• Phenomenology with F-theory SU(5)
• Structure of stable degeneration of K3 surfaces into pairs of rational elliptic surfaces
• A Note on Kahler Potential of Charged Matter in F-theory
• $n$-$\bar{n}$ oscillations and the neutron lifetime
• GUTs without guts
• Orientiholes
• Diphoton Resonance in F-theory inspired Flipped SO(10)
• Yukawa Hierarchies in Global F-theory Models
• Local Grand Unification in the Heterotic Landscape
• Type II seesaw supersymmetric neutrino model for ${\theta }_{13}\ne 0$
• T-branes and defects
• Gauge symmetry breaking with fluxes and natural Standard Model structure from exceptional GUTs in F-theory
• D-branes Wrapped on Fuzzy del Pezzo Surfaces
• Large U(1) charges from flux breaking in 4D F-theory models
• A vanishing theorem for T-branes
• $\frac{1}{2}$ Calabi-Yau 3-folds, Calabi-Yau 3-folds as double covers, and F-theory with U(1)s
• Dualities of Deformed $\mathcal{N}=2$ SCFTs from Link Monodromy on D3-brane States
• Realistic Four-Generation MSSM in Type II String Theory
• Calabi-Yau 4-folds of Borcea--Voisin type from F-Theory
• On Building superpotentials in F- GUTs
• Heterotic-$\mathbf{F}$-theory Duality with Wilson Line Symmetry-breaking
• Symmetry Breaking Bulk Effects in Local D-brane Models
• Types of gauge groups in six-dimensional F-theory on double covers of rational elliptic 3-folds
• Improved statistics for F-theory standard models
• Towards natural and realistic $E_7$ GUTs in F-theory
• Vectorlike Particles, $Z^{\prime }$ and Yukawa Unification in F-theory inspired $E_6$
• Electronic structure and exotic exchange splitting in spin-density-wave states of BaFe${}_2$As${}_2$
• Canonical Gauge Coupling Unification in the Standard Model with High-Scale Supersymmetry Breaking
• Heterotic Complex Structure Moduli Stabilization for Elliptically Fibered Calabi-Yau Manifolds
• Wavefunctions on magnetized branes in the conifold
• Mediation of Supersymmetry Breaking in a Class of String Theory Models
• What is the minimal supersymmetric Standard Model from F-theory?
• Non-flat elliptic four-folds, three-form cohomology and strongly coupled theories in four dimensions
• A dessin on the base: a description of mutually non-local 7-branes without using branch cuts
• On the geometry of C^3/D_27 and del Pezzo surfaces
• The origin of discrete symmetries in F-theory models
• A note on transition in discrete gauge groups in F-theory
• BPS Open Strings and A-D-E-singularities in F-theory on K3
• Four-dimensional $N=1$ theories, S-fold constraints on T-branes, and behaviors in IR and UV
• Non-split singularities and conifold transitions in F-theory
• A Right-handed Neutrino Portal to the Hidden sector : Active Neutrinos and their Twins in an F-theory model
• General scan in flavor parameter space in the models with vector quark doublets and an enhancement in $B\to X_s\gamma$ process
• The dark dimension, proton decay, and the length of the M-theory interval
• The No-Scale Multiverse at the LHC
• Flavored gauge mediation in the Peccei-Quinn NMSSM
• Yukawa couplings in F-theory SU(5)
• Flipped $SU(5)$ GUT with conformal gravity from a single supermultiplet
• Yukawa Textures From Singular Spectral Data
• One-Parameter Model for the Superworld