The Swampland at Large Number of Space-Time Dimensions

Abstract

We discuss some aspects of swampland constraints - especially the swampland distance conjecture - in a large number of space-time dimensions $D$. We analyze Kaluza-Klein (KK) states at large $D$ and find that some KK spectra possess an interesting dependence on $D$. On the basis of these observations we propose a new large dimension conjecture. We apply it to KK states of compactifications to anti-de Sitter backgrounds where it predicts an upper bound on the dimension of space-time as a function of its characteristic radius. We also apply our conjecture to black hole spacetimes, whose entropies have a $D$-dependence very similar to that of the KK spectrum.

arXiv comment24 pages, version 2 contains minor changes and one more reference

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Cited by in corpus (5)

• S-dual Inflation and the String Swampland
• Relative scale separation in orbifolds of $S^2$ and $S^5$
• Geometric flow equations for the number of space-time dimensions
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Toroidal $\&$ orbifold compactifications at large D and D-duality