Mapping 6D N = 1 supergravities to F-theory

Abstract

We develop a systematic framework for realizing general anomaly-free chiral 6D supergravity theories in F-theory. We focus on 6D (1, 0) models with one tensor multiplet whose gauge group is a product of simple factors (modulo a finite abelian group) with matter in arbitrary representations. Such theories can be decomposed into blocks associated with the simple factors in the gauge group; each block depends only on the group factor and the matter charged under it. All 6D chiral supergravity models can be constructed by gluing such blocks together in accordance with constraints from anomalies. Associating a geometric structure to each block gives a dictionary for translating a supergravity model into a set of topological data for an F-theory construction. We construct the dictionary of F-theory divisors explicitly for some simple gauge group factors and associated matter representations. Using these building blocks we analyze a variety of models. We identify some 6D supergravity models which do not map to integral F-theory divisors, possibly indicating quantum inconsistency of these 6D theories.

37 pages, no figures; v2: references added, minor typos corrected; v3: minor corrections to DOF counting in section 5

References in corpus (4)

• String universality in ten dimensions
• A bound on 6D N=1 supergravities
• Extended Gauge Symmetries in F-theory
• On F-theory Quiver Models and Kac-Moody Algebras

Cited by in corpus (59)

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• A Stringy Test of the Scalar Weak Gravity Conjecture
• On Abelian Gauge Symmetries and Proton Decay in Global F-theory GUTs
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• Tate's algorithm and F-theory
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• Top Down Approach to 6D SCFTs
• String universality in ten dimensions
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• Branes and the Swampland
• Constraints on 6D Supergravity Theories with Abelian Gauge Symmetry
• On the Hodge structure of elliptically fibered Calabi-Yau threefolds
• 6D supergravity without tensor multiplets
• TASI Lectures on Supergravity and String Vacua in Various Dimensions
• Matter From Geometry Without Resolution
• Gauge Fluxes in F-theory and Type IIB Orientifolds
• Hypercharge Flux, Exotics, and Anomaly Cancellation in F-theory GUTs
• 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}
• ${\mathbb{P}}^1$-bundle bases and the prevalence of non-Higgsable structure in 4D F-theory models
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• 6d SCFTs and U(1) Flavour Symmetries
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• Implications of String Constraints for Exotic Matter and Z' s Beyond the Standard Model
• Toric Elliptic Fibrations and F-Theory Compactifications
• Curvature squared invariants in six-dimensional $\mathcal{N}=(1,0)$ supergravity
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• String Defects, Supersymmetry and the Swampland
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• Nongeometric heterotic strings and dual F-theory with enhanced gauge groups
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• F-theory duals of singular heterotic K3 mode
• The Green-Schwarz Mechanism and Geometric Anomaly Relations in 2d (0,2) F-theory Vacua
• 6D SCFTs and Gravity
• Non-toric bases for elliptic Calabi-Yau threefolds and 6D F-theory vacua
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• Flavor Symmetries and Automatic Enhancement in the 6d Supergravity Swampland
• SCFTs, Holography, and Topological Strings
• Anomaly-free Multiple Singularity Enhancement in F-theory
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• 6d $\mathcal{N}=(1,0)$ anomalies on $S^1$ and F-theory implications
• Spectral Covers, Integrality Conditions, and Heterotic/F-theory Duality
• Six-Dimensional Jordan Supergravity Models