Compactness of Brane Moduli and the String Lamppost Principle in $d>6$

Abstract

We demonstrate the validity of the String Lamppost Principle-that all consistent theories of quantum gravity are in the String Landscape-for supersymmetric theories in $d>6$ using compactness and connectedness of the moduli space of small instantons, as well as the classification of the associated Coulomb branch.

35 pages, 3 figures, 6 tables; v2: Added references, minor corrections

References in corpus (13)

• The String Landscape and the Swampland
• Cobordism Conjecture, Anomalies, and the String Lamppost Principle
• Chern-Weil Global Symmetries and How Quantum Gravity Avoids Them
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• 8d gauge anomalies and the topological Green-Schwarz mechanism
• On the Swampland Cobordism Conjecture and Non-Abelian Duality Groups
• The Moduli Space and M(atrix) Theory of 9d N=1 Backgrounds of M/String Theory
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• Symmetry Enhancements in 7d Heterotic Strings
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• Swampland geometry and the gauge couplings

Cited by in corpus (26)

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• Taming the Landscape of Effective Theories
• One Loop to Rule Them All: Eight and Nine Dimensional String Vacua from Junctions
• Physics of Infinite Complex Structure Limits in eight Dimensions
• Open-Closed Correspondence of K-theory and Cobordism
• New Supersymmetric String Theories from Discrete Theta Angles
• Revisiting Dudas-Mourad compactifications
• Quantum Gravity Bounds on N=1 Effective Theories in Four Dimensions
• Dimensional Reduction of Cobordism and K-theory
• Looking for structure in the cobordism conjecture
• Hierarchies of RG flows in 6d $(1,0)$ massive E-strings
• Finiteness and the Emergence of Dualities
• Freezing of Gauge Symmetries in the Heterotic String on $T^4$
• Towards a complete classification of 6D supergravities
• Unifying the 6D $\mathcal{N}=(1,1)$ String Landscape
• New Supersymmetric String Moduli Spaces from Frozen Singularities
• Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment
• Infinite distances in multicritical CFTs and higher-spin holography
• A new infinite class of $6d$, $\mathcal{N}=(1,0)$ supergravities
• Lectures in Quantum Gravity
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Open Strings in IIB Orientifold Reductions
• Quintessence and false vacuum: Two sides of the same coin?
• A unique coupling of the massive spin-2 field to supergravity
• Effective density matrix for vacua in asymptotically flat gravity
• Eight-dimensional non-geometric heterotic strings and enhanced gauge groups