The swampland at large number of space-time dimensions

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