The swampland at large number of space-time dimensions
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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.
2008 ◽
Vol 17
(03n04)
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pp. 513-518
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2020 ◽
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2018 ◽
Vol 78
(3)
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2009 ◽
Vol 18
(04)
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pp. 599-611
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2002 ◽
Vol 17
(14)
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pp. 1965-1977
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2015 ◽
Vol 24
(14)
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pp. 1550103
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