Non-Higgsable clusters for 4D F-theory models

Abstract

We analyze non-Higgsable clusters of gauge groups and matter that can arise at the level of geometry in 4D F-theory models. Non-Higgsable clusters seem to be generic features of F-theory compactifications, and give rise naturally to structures that include the nonabelian part of the standard model gauge group and certain specific types of potential dark matter candidates. In particular, there are nine distinct single nonabelian gauge group factors, and only five distinct products of two nonabelian gauge group factors with matter, including $SU(3)\times SU(2)$, that can be realized through 4D non-Higgsable clusters. There are also more complicated configurations involving more than two gauge factors; in particular, the collection of gauge group factors with jointly charged matter can exhibit branchings, loops, and long linear chains.

35 pages, 3 figures; v2: references added; v3: constraints on two-factor product groups tightened, minor other corrections; v4: references added, some issues clarified in discussion of potential physical relevance

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Cited by in corpus (37)

• Machine Learning in the String Landscape
• On Algorithmic Universality in F-theory Compactifications
• General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure
• Scanning the skeleton of the 4D F-theory landscape
• The F-theory geometry with most flux vacua
• ${\mathbb{P}}^1$-bundle bases and the prevalence of non-Higgsable structure in 4D F-theory models
• A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua
• F-theory and 2d (0,2) Theories
• 6d SCFTs and U(1) Flavour Symmetries
• UV Completions for Non-Critical Strings
• Multiple Fibrations in Calabi-Yau Geometry and String Dualities
• Compact, Singular G2-Holonomy Manifolds and M/Heterotic/F-Theory Duality
• Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds
• Generic matter representations in 6D supergravity theories
• Strong Coupling in F-theory and Geometrically Non-Higgsable Seven-branes
• On Axion Reheating in the String Landscape
• On Instanton Superpotentials, Calabi-Yau Geometry, and Fibrations
• Three-Index Symmetric Matter Representations of SU(2) in F-Theory from Non-Tate Form Weierstrass Models
• Learning non-Higgsable gauge groups in 4D F-theory
• Tuned and Non-Higgsable U(1)s in F-theory
• Statistics of Flux Vacua for Particle Physics
• Moduli Stabilisation and the Statistics of SUSY Breaking in the Landscape
• The Cost of Seven-brane Gauge Symmetry in a Quadrillion F-theory Compactifications
• Singular Geometry and Higgs Bundles in String Theory
• Matter in transition
• The Green-Schwarz Mechanism and Geometric Anomaly Relations in 2d (0,2) F-theory Vacua
• General F-theory models with tuned $(\mathrm{SU}(3)\times \mathrm{SU}(2)\times U(1))/{\mathbb{Z}}_6$ symmetry
• On the Scarcity of Weak Coupling in the String Landscape
• Three-form periods on Calabi-Yau fourfolds: Toric hypersurfaces and F-theory applications
• Generic construction of the Standard Model gauge group and matter representations in F-theory
• Natural F-theory constructions of Standard Model structure from $E_7$ flux breaking
• Constraints on Standard Model Constructions in F-theory
• 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
• Towards natural and realistic $E_7$ GUTs in F-theory
• Faking Gauge Coupling Unification in String Theory
• A Database of Calabi-Yau Orientifolds and the Size of D3-Tadpoles