Constraints on 6D Supergravity Theories with Abelian Gauge Symmetry

Abstract

We study six-dimensional N=(1,0) supergravity theories with abelian, as well as non-abelian, gauge group factors. We show that for theories with fewer than nine tensor multiplets, the number of possible combinations of gauge groups - including abelian factors - and non-abelian matter representations is finite. We also identify infinite families of theories with distinct U(1) charges that cannot be ruled out using known quantum consistency conditions, though only a finite subset of these can arise from known string constructions.

arXiv comment49 pages, latex; v2: minor corrections, references added; v3: minor corrections

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• 6d holographic anomaly match as a continuum limit
• F-theory on Genus-One Fibrations
• 6d, N=(1,0) Coulomb Branch Anomaly Matching
• Higher-Form Symmetries and Their Anomalies in M-/F-Theory Duality
• On the Hodge structure of elliptically fibered Calabi-Yau threefolds
• The Global Gauge Group Structure of F-theory Compactification with U(1)s
• F-Theory Compactifications with Multiple U(1)-Factors: Addendum
• Swampland Bounds on the Abelian Gauge Sector
• Quantization of anomaly coefficients in 6D $\mathcal{N}=(1,0)$ supergravity
• General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure
• Calabi-Yau threefolds with large h^{2, 1}
• Geometric constraints in dual F-theory and heterotic string compactifications
• 6d SCFTs and U(1) Flavour Symmetries
• Anomaly Cancelation in Field Theory and F-theory on a Circle
• Non-Higgsable QCD and the Standard Model Spectrum in F-theory
• F-theory on Quotient Threefolds with (2,0) Discrete Superconformal Matter
• General Prescription for Global U(1)'s in 6D SCFTs
• Taming the Landscape of Effective Theories
• Curvature squared invariants in six-dimensional $\mathcal{N}=(1,0)$ supergravity
• Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds
• Algebraic Cycles and Local Anomalies in F-Theory
• Generic matter representations in 6D supergravity theories
• Two 6d origins of 4d SCFTs: class $\mathcal{S}$ and 6d (1,0) on a torus
• Towards Exotic Matter and Discrete Non-Abelian Symmetries in F-theory
• Hierarchy of RG flows in 6d $(1,0)$ orbi-instantons
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• Three-Index Symmetric Matter Representations of SU(2) in F-Theory from Non-Tate Form Weierstrass Models
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• Abelian F-theory Models with Charge-3 and Charge-4 Matter
• Tuned and Non-Higgsable U(1)s in F-theory
• Statistics of Flux Vacua for Particle Physics
• The Toric SO(10) F-Theory Landscape
• The discrete Green-Schwarz mechanism in 6D F-Theory and Elliptic Genera of Non-Critical Strings
• Modular Curves and Mordell-Weil Torsion in F-theory
• Quasi-Jacobi Forms, Elliptic Genera and Strings in Four Dimensions
• Charge completeness and the massless charge lattice in F-theory models of supergravity
• The Green-Schwarz Mechanism and Geometric Anomaly Relations in 2d (0,2) F-theory Vacua
• Moduli stabilization with non-geometric fluxes -- comments on tadpole contributions and de-Sitter vacua
• Global tensor-matter transitions in F-theory
• An infinite swampland of U(1) charge spectra in 6D supergravity theories
• Towards a complete classification of 6D supergravities
• Automatic Enhancement in 6D Supergravity and F-theory Models
• de Sitter vacua and supersymmetry breaking in six-dimensional flux compactifications
• $\frac{1}{2}$ Calabi-Yau 3-folds, Calabi-Yau 3-folds as double covers, and F-theory with U(1)s
• Orders of Vanishing and U(1) Charges in F-theory
• Types of gauge groups in six-dimensional F-theory on double covers of rational elliptic 3-folds
• 6d $\mathcal{N}=(1,0)$ anomalies on $S^1$ and F-theory implications
• Tame Complexity of Effective Field Theories in the Quantum Gravity Landscape