A semianalytical model for the evolution of galaxies and supermassive black holes within the cold dark matter paradigm has been shown to yield stellar-black hole mass relations that reproduce both the James Webb Space Telescope and pre-Webb telescope observations. Either fuzzy or warm dark matter would suppress the formation of the smaller galactic halos that play important roles in the cold dark matter fit to the high-redshift supermassive black hole data. Our analysis of the stellar-black hole mass relation disfavors fuzzy dark matter fields with masses $<2.0\times {10}^{-20}\mathrm{eV}$ and warm dark matter particles with masses $<7.2\mathrm{keV}$, both at the 95% confidence level.

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• Dark matter
• Large scale structure of the Universe
• Astronomical black holes