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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ArXiv ePrint: 2011.06610
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Bonnefoy, Q., Ciambelli, L., Lüst, D. et al. The swampland at large number of space-time dimensions. J. High Energ. Phys. 2021, 9 (2021). https://doi.org/10.1007/JHEP07(2021)009
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DOI: https://doi.org/10.1007/JHEP07(2021)009