8d Supergravity, Reconstruction of Internal Geometry and the Swampland

Abstract

We sharpen Swampland constraints on 8d supergravity theories by studying consistency conditions on worldvolume theory of 3-brane probes. Combined with a stronger form of the cobordism conjecture, this leads to the reconstruction of the compact internal geometry and implies strong restrictions on the gauge algebra and on some higher derivative terms (related to the level of the current algebra on the 1-brane). In particular we argue that 8d supergravity theories with ${\mathfrak{g}}_2$ gauge symmetry are in the Swampland. These results provide further evidence for the string lamppost principle in 8d with 16 supercharges.

arXiv comment21 pages. v2: Minor changes. v3: References added. v4: Typo corrected, discussion improved

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• Taming the Landscape of Effective Theories
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• One Loop to Rule Them All: Eight and Nine Dimensional String Vacua from Junctions
• Global anomalies in 8d supergravity
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• New Supersymmetric String Theories from Discrete Theta Angles
• Revisiting Dudas-Mourad compactifications
• Small Black Hole Explosions
• Quantum Gravity Bounds on N=1 Effective Theories in Four Dimensions
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• Symmetry Enhancements in 7d Heterotic Strings
• Dimensional Reduction of Cobordism and K-theory
• Finiteness and the Emergence of Dualities
• Modular Curves and the Refined Distance Conjecture
• Towards a complete classification of 6D supergravities
• Unifying the 6D $\mathcal{N}=(1,1)$ String Landscape
• New Supersymmetric String Moduli Spaces from Frozen Singularities
• Flavor Symmetries and Automatic Enhancement in the 6d Supergravity Swampland
• Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment
• Affine Algebras at Infinite Distance Limits in the Heterotic String
• A new infinite class of $6d$, $\mathcal{N}=(1,0)$ supergravities
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• On the duality of F-theory and the CHL string in seven dimensions
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• At the End of the World: Local Dynamical Cobordism
• $E_9$ symmetry in the Heterotic String on $S^1$ and the Weak Gravity Conjecture