Massive Abelian Gauge Symmetries and Fluxes in F-theory
arXiv:1107.3842 · doi:10.1007/JHEP12(2011)004
Abstract
F-theory compactified on a Calabi-Yau fourfold naturally describes non-Abelian gauge symmetries through the singularity structure of the elliptic fibration. In contrast Abelian symmetries are more difficult to study because of their inherently global nature. We argue that in general F-theory compactifications there are massive Abelian symmetries, such as the uplift of the Abelian part of the U(N) gauge group on D7-branes, that arise from non-Kahler resolutions of the dual M-theory setup. The four-dimensional F-theory vacuum with vanishing expectation values for the gauge fields corresponds to the Calabi-Yau limit. We propose that fluxes that are turned on along these U(1)s are uplifted to non-harmonic four-form fluxes. We derive the effective four-dimensional gauged supergravity resulting from F-theory compactifications in the presence of the Abelian gauge factors including the effects of possible fluxes on the gauging, tadpoles and matter spectrum.
49 pages
References in corpus (29)
- Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
- Spacetime Instanton Corrections in 4D String Vacua - The Seesaw Mechanism for D-Brane Models
- GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
- Neutrino Majorana Masses from String Theory Instanton Effects
- Lectures on F-theory compactifications and model building
- GUTs in Type IIB Orientifold Compactifications
- Stringy Instantons and Quiver Gauge Theories
- SUSY Breaking in Local String/F-Theory Models
- Moduli Stabilisation versus Chirality for MSSM like Type IIB Orientifolds
- D-brane Deconstructions in IIB Orientifolds
- New Aspects of Heterotic--F Theory Duality
- Progress in D-brane model building
- Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
- The N=1 effective action of F-theory compactifications
- Generalized N=1 Orientifold Compactifications and the Hitchin functionals
- Gauge Coupling Unification in F-theory GUT Models
- Tate's algorithm and F-theory
- Testing String Vacua in the Lab: From a Hidden CMB to Dark Forces in Flux Compactifications
- Towards Realistic String Vacua From Branes At Singularities
- F-theory uplifts and GUTs
- New F-theory lifts
- Continuous Global Symmetries and Hyperweak Interactions in String Compactifications
- D7-Brane Motion from M-Theory Cycles and Obstructions in the Weak Coupling Limit
- Hypercharge Flux, Exotics, and Anomaly Cancellation in F-theory GUTs
- Toric Construction of Global F-Theory GUTs
- A Note on G-Fluxes for F-theory Model Building
- Fixing D7 Brane Positions by F-Theory Fluxes
- Kinetic mixing of U(1)s for local string models
- Five-Brane Superpotentials, Blow-Up Geometries and SU(3) Structure Manifolds
Cited by in corpus (61)
- The Swampland: Introduction and Review
- F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds
- F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches
- F-theory fluxes, Chirality and Chern-Simons theories
- Mordell-Weil Torsion and the Global Structure of Gauge Groups in F-theory
- Physics of F-theory compactifications without section
- Anomaly Cancellation And Abelian Gauge Symmetries In F-theory
- U(1) symmetries in F-theory GUTs with multiple sections
- SU(5) Tops with Multiple U(1)s in F-theory
- T-Branes and Geometry
- Modular Fluxes, Elliptic Genera, and Weak Gravity Conjectures in Four Dimensions
- Discrete Gauge Symmetries by Higgsing in four-dimensional F-Theory Compactifications
- Yukawas and discrete symmetries in F-theory compactifications without section
- Terminal Singularities, Milnor Numbers, and Matter in F-theory
- Matter From Geometry Without Resolution
- Gauge Fluxes in F-theory and Type IIB Orientifolds
- Towards large r from [p,q]-inflation
- The fate of U(1)'s at strong coupling in F-theory
- Calabi-Yau threefolds with large h^{2, 1}
- F-theory and 2d (0,2) Theories
- Geometric constraints in dual F-theory and heterotic string compactifications
- 6d SCFTs and U(1) Flavour Symmetries
- Structure in 6D and 4D N=1 supergravity theories from F-theory
- A Quadrillion Standard Models from F-theory
- Fluxes in F-theory Compactifications on Genus-One Fibrations
- Systematics of the Expansion in F-Theory
- Hypercharge Flux in IIB and F-theory: Anomalies and Gauge Coupling Unification
- Vector-Like Exotics in F-Theory and 750 GeV Diphotons
- General Prescription for Global U(1)'s in 6D SCFTs
- Gauge Coupling Unification in E6 F-Theory GUTs with Matter and Bulk Exotics from Flux Breaking
- Wavefunctions and the Point of E8 in F-theory
- Fluxes and Warping for Gauge Couplings in F-theory
- A Global SU(5) F-theory model with Wilson line breaking
- Fluxed M5-instantons in F-theory
- On Flux Quantization in F-Theory II: Unitary and Symplectic Gauge Groups
- Towards the Standard Model in F-theory
- Towards a Realistic F-theory GUT
- Tate's Algorithm for F-theory GUTs with two U(1)s
- A Note on Hypercharge Flux, Anomalies, and U(1)s in F-theory GUTs
- Chiral anomalies on a circle and their cancellation in F-theory
- Gauge Groups and Matter Fields on Some Models of F-theory without Section
- Matter in transition
- Non-Cartan Mordell-Weil lattices of rational elliptic surfaces and heterotic/F-theory compactifications
- Non-Abelian discrete gauge symmetries in F-theory
- The Green-Schwarz Mechanism and Geometric Anomaly Relations in 2d (0,2) F-theory Vacua
- One-modulus Calabi-Yau fourfold reductions with higher-derivative terms
- U(n) Spectral Covers from Decomposition
- NS5-Branes and Line Bundles in Heterotic/F-Theory Duality
- Gauged supergravities and their symmetry-breaking vacua in F-theory
- On the Standard Model Group in F-theory
- Shift-symmetries and gauge coupling functions in orientifolds and F-theory
- Natural F-theory constructions of Standard Model structure from flux breaking
- On Mirror Symmetry for Calabi-Yau Fourfolds with Three-Form Cohomology
- A string theory realization of special unitary quivers in 3 dimensions
- Gauge symmetry breaking with fluxes and natural Standard Model structure from exceptional GUTs in F-theory
- Large U(1) charges from flux breaking in 4D F-theory models
- Heterotic--theory Duality with Wilson Line Symmetry-breaking
- Towards natural and realistic GUTs in F-theory
- What is the minimal supersymmetric Standard Model from F-theory?
- A dessin on the base: a description of mutually non-local 7-branes without using branch cuts
- Chern-Simons couplings, modular duality, and anomaly cancellation in abelian F-theory