New Global F-theory GUTs with U(1) symmetries

Abstract

We construct global F-theory GUTs with SU(5) x U(1) gauge group defined by specifying a fully resolved Calabi-Yau fourfold and consistent four-form G-flux. Its specific U(1) charged matter spectrum allows the desired Yukawa couplings, but forbids dangerous proton decay operators. The model we find: (1) does not follow from an underlying higgsed E8 gauge group (2) leaves the class of theories that can be analyzed with current split-spectral cover techniques. This avoids recently proposed no-go theorems for models with hypercharge flux, as required to break the GUT group. The appearance of additional fields is related geometrically to considering a more general class of sections and 4-1 splits. We show explicitly that the four-dimensional chiral matter index can still be computed using three-dimensional one-loop Chern-Simons terms.

24 pages, 2 figures

References in corpus (12)

• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• Lectures on F-theory compactifications and model building
• F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds
• New Aspects of Heterotic--F Theory Duality
• Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
• The N=1 effective action of F-theory compactifications
• Models of Particle Physics from Type IIB String Theory and F-theory: A Review
• Anomaly Cancellation And Abelian Gauge Symmetries In F-theory
• U(1) symmetries in F-theory GUTs with multiple sections
• Hypercharge Flux, Exotics, and Anomaly Cancellation in F-theory GUTs
• Toric Construction of Global F-Theory GUTs
• A Global SU(5) F-theory model with Wilson line breaking

Cited by in corpus (9)

• The Global Gauge Group Structure of F-theory Compactification with U(1)s
• Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds
• Nongeometric heterotic strings and dual F-theory with enhanced gauge groups
• The Toric SO(10) F-Theory Landscape
• Non-Cartan Mordell-Weil lattices of rational elliptic surfaces and heterotic/F-theory compactifications
• When Rational Sections Become Cyclic: Gauge Enhancement in F-theory via Mordell--Weil Torsion
• On the Standard Model Group in F-theory
• F-theory models with $U(1)\times {\mathbb{Z}}_2,{\mathbb{Z}}_4$ and transitions in discrete gauge groups
• A dessin on the base: a description of mutually non-local 7-branes without using branch cuts