Generic construction of the Standard Model gauge group and matter representations in F-theory

Abstract

We describe general classes of 6D and 4D F-theory models with gauge group $(\mathrm{SU}(3)\times \mathrm{SU}(2)\times U(1))/{\mathbb{Z}}_6$. We prove that this set of constructions gives all possible consistent 6D supergravity theories with no tensor multiplets having this gauge group and the corresponding generic matter representations, which include those of the MSSM. We expect, though do not prove, that these models are similarly generic for 6D theories with tensor multiplets and for 4D $\mathcal{N}=1$ supergravity theories. The largest class of these constructions comes from deforming an underlying geometry with gauge symmetry $\mathrm{SU}(4)\times \mathrm{SU}(3)\times \mathrm{SU}(2)$.

arXiv comment10 pages, LaTeX; references added, minor edits

References in corpus (24)

• Evidence for F-Theory
• Compactifications of F-Theory on Calabi--Yau Threefolds -- II
• Compactifications of F-Theory on Calabi--Yau Threefolds -- I
• Geometric Singularities and Enhanced Gauge Symmetries
• A Note on the Green - Schwarz Mechanism in Open - String Theories
• GUTs and Exceptional Branes in F-theory - I
• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds
• F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches
• Global aspects of the space of 6D N = 1 supergravities
• Tate's algorithm and F-theory
• A Comprehensive Scan for Heterotic SU(5) GUT models
• Anomaly Cancellation And Abelian Gauge Symmetries In F-theory
• The Global Gauge Group Structure of F-theory Compactification with U(1)s
• Three-Family Particle Physics Models from Global F-theory Compactifications
• Scanning the skeleton of the 4D F-theory landscape
• Non-Higgsable clusters for 4D F-theory models
• Non-Higgsable QCD and the Standard Model Spectrum in F-theory
• Counting String Theory Standard Models
• G4-Flux and Standard Model Vacua in F-theory
• The Arithmetic of Elliptic Fibrations in Gauge Theories on a Circle
• Towards the Standard Model in F-theory
• Generic matter representations in 6D supergravity theories
• An F-theory Realization of the Chiral MSSM with ${\mathbb{Z}}_2$-Parity

Cited by in corpus (4)

• Machine learning Calabi-Yau metrics
• Charge completeness and the massless charge lattice in F-theory models of supergravity
• 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