String universality in ten dimensions

Abstract

We show that the $\mathcal{N}=1$ supergravity theories in ten dimensions with gauge groups $U(1{)}^{496}$ and $E_8\times U(1{)}^{248}$ are not consistent quantum theories. Cancellation of anomalies cannot be made compatible with supersymmetry and abelian gauge invariance. Thus, in ten dimensions all supersymmetric theories of gravity without known inconsistencies are realized in string theory.

7 pages, 1 figure, LaTeX. v2: typos corrected on version appearing in PRL

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• Mapping 6D N = 1 supergravities to F-theory
• Life at the Interface of Particle Physics and String Theory
• Branes and the Swampland
• Chern-Weil Global Symmetries and How Quantum Gravity Avoids Them
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• String Universality and Non-Simply-Connected Gauge Groups in 8d
• TASI Lectures on Supergravity and String Vacua in Various Dimensions
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• General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure
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• 8d gauge anomalies and the topological Green-Schwarz mechanism
• On the Swampland Cobordism Conjecture and Non-Abelian Duality Groups
• Geometric constraints in dual F-theory and heterotic string compactifications
• A Chern-Simons Pandemic
• Swampland Constraints on 5d $\mathcal{N}=1$ Supergravity
• Implications of String Constraints for Exotic Matter and Z' s Beyond the Standard Model
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• Exploring the landscape of CHL strings on T^d
• Taming the Landscape of Effective Theories
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• First Study of the Negative Binomial Distribution Applied to Higher Moments of Net-charge and Net-proton Multiplicity Distributions
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• Non-toric bases for elliptic Calabi-Yau threefolds and 6D F-theory vacua
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• Large U(1) charges from flux breaking in 4D F-theory models
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• Consistency of eight-dimensional supergravities: Anomalies, Lattices and Counterterms
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• Heterotic Flux Geometry from Chiral Gauge Dynamics
• The measurement of non-photonic electrons in STAR
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