The fate of U(1)'s at strong coupling in F-theory
arXiv:1402.4054 · doi:10.1007/JHEP07(2014)028
Abstract
U(1) gauge symmetries in F-theory are expected to manifest themselves as codimension three singularities of Calabi-Yau fourfolds. However, some of these are known to become massive at strong coupling via the Stückelberg mechanism. In this note, we propose a geometric picture for detecting all U(1)'s, and determining which ones are massive and which ones are massless. We find that massive gauge symmetries show up as codimension three singularities that only admit small, non-Kähler, resolutions. Our proposal passes several highly non-trivial tests, including a case with a non-diagonal mass matrix.
18 pages
References in corpus (6)
Cited by in corpus (28)
- F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches
- Mordell-Weil Torsion and the Global Structure of Gauge Groups in F-theory
- Physics of F-theory compactifications without section
- 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
- F-theory on singular spaces
- 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
- A New Model for Elliptic Fibrations with a Rank One Mordell-Weil Group: I. Singular Fibers and Semi-Stable Degenerations
- Non-Higgsable QCD and the Standard Model Spectrum in F-theory
- General Prescription for Global U(1)'s in 6D SCFTs
- The Cremmer-Scherk Mechanism in F-theory Compactifications on K3 Manifolds
- Abelian F-theory Models with Charge-3 and Charge-4 Matter
- High electric charges in M-theory from quiver varieties
- Chiral anomalies on a circle and their cancellation in F-theory
- Modular curves, the Tate-Shafarevich group and Gopakumar-Vafa invariants with discrete charges
- Matter in transition
- Non-Abelian discrete gauge symmetries in F-theory
- 6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces
- When Rational Sections Become Cyclic: Gauge Enhancement in F-theory via Mordell--Weil Torsion
- Shift-symmetries and gauge coupling functions in orientifolds and F-theory
- On and F-Theory GUTs
- Hidden Selection Rules, M5-instantons and Fluxes in F-theory
- Orders of Vanishing and U(1) Charges in F-theory
- Non-perturbative selection rules in F-theory
- Complete Intersection Fibers in F-Theory