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arXiv · 2011.06610

The Swampland at Large Number of Space-Time Dimensions

Quentin Bonnefoy·Luca Ciambelli·Dieter Lust·Severin Lust
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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.

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Quentin Bonnefoy, Luca Ciambelli, Dieter Lust, Severin Lust. 2020-11-12. The Swampland at Large Number of Space-Time Dimensions. https://doi.org/10.1007/jhep07(2021)009

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