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Bonnefoy, Quentin; Ciambelli, Luca; Lust, Dieter und Lust, Severin (2021): The swampland at large number of space-time dimensions. In: Journal of High Energy Physics, Nr. 7, 9

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Abstract

We discuss some aspects of swampland constraints - especially the swamp-land 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.

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