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.

arXiv comment35 pages, 3 figures, 6 tables; v2: Added references, minor corrections

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• Hierarchies of RG flows in 6d $(1,0)$ massive E-strings
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• Freezing of Gauge Symmetries in the Heterotic String on $T^4$
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• New Supersymmetric String Moduli Spaces from Frozen Singularities
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• Open Strings in IIB Orientifold Reductions
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• A unique coupling of the massive spin-2 field to supergravity
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