Recently James Webb Space Telescope (JWST) have observed an excess of luminous galaxies at high redshifts ($z\gtrsim 10$). In this work, we investigate whether supermassive primordial black holes (SMPBHs) can explain it by their influence on the ultraviolet luminosity function (UV LF) of high-redshift galaxies. Through Markov chain Monte Carlo analysis, we constrain the parameters relevant with SMPBHs against current JWST observational data. The results reveal that SMPBHs with masses $M_{\mathrm{PBH}}\sim {10}^{6.3–8.3}{M}_{\odot }$, abundances $f_{\mathrm{PBH}}\sim {10}^{-7}–{10}^{-5}$, and sub-Eddington ratios ${\lambda }_E\ll 1$ can effectively enhance the bright end of the UV LF, consistent with JWST observations.

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• Formation & evolution of stars & galaxies
• Large scale structure of the Universe
• Galaxies
• Primordial black holes
• Composition of astronomical objects
• Distances, redshifts, & velocities
• Astrophysical & cosmological simulations
• Telescopes