Can primordial black holes explain the overabundance of bright super-early galaxies?

JWST is detecting an excess of high-redshift ($z\gtrsim 10$), bright galaxies challenging most theoretical predictions. To address this issue, we investigate the impact of Primordial Black Holes (PBHs) on the halo mass function and UV luminosity function (LF) of super-early galaxies. We explore two key effects: (i) the enhancement of massive halos abundance due to the compact nature and spatial distribution of PBHs, and (ii) the luminosity boost, characterized by the Eddington ratio $\lambda_E$, due to Active Galactic Nuclei (AGN) powered by matter accretion onto PBHs. We build an effective model, calibrated using data at lower redshifts ($z\approx 4-9$), to derive the evolution of the LF including the additional PBH contribution. Via Bayesian analysis, we find that: (a) Although a small fraction ($\log f_{\rm PBH} \approx -5.42$) of massive ($\log M_{\rm PBH} / {\rm M_{\odot}} \approx 8.37$), non-emitting ($\lambda_E=0$) PBHs can explain the galaxy excess via the halo abundance enhancement, this solution is excluded by CMB $\mu$-distortion constraints on monochromatic PBHs. (b) If PBHs power an AGN emitting at super-Eddington luminosity ($\lambda_E \approx 10$), the observed LF can be reproduced by a PBH population with characteristic mass $\log M_{\rm PBH} / {\rm M_{\odot}} \approx 3.69$ constituting a tiny ($\log f_{\rm PBH} \approx -8.16$) fraction of the cosmic dark matter content. In the AGN scenario, about 75% of the observed galaxies with ${\rm M_{UV}}=-21$ at $z=11$ should host a PBH-powered AGN and typically reside in low mass halos, $M_h = 10^{8-9} {\rm M_{\odot}}$. These predictions can be tested with available and forthcoming JWST spectroscopic data. We note that our analysis considers a lognormal PBH mass function and compares its parameters with monochromatic limits on PBH abundance. Further work is required to relax such limitations.