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The James Webb Space Telescope (JWST) will revolutionise our understanding ofearly galaxy formation, and could potentially set stringent constraints on thenature of dark matter. We use a semi-empirical model of galaxy formation toinvestigate the extent to which uncertainties in the implementation of baryonicphysics may be degenerate with the predictions of two different models of darkmatter -- Cold Dark Matter (CDM) and a 7 keV sterile neutrino, which behaves asWarm Dark Matter (WDM). Our models are calibrated to the observed UV luminosityfunction at $z=4$ using two separate dust attenuation prescriptions, whichmanifest as high and low star formation efficiency in low mass haloes. We findthat while at fixed star formation efficiency, $\varepsilon$, there are markeddifferences in the abundance of faint galaxies in the two dark matter models athigh-$z$, these differences are mimicked easily by varying $\varepsilon$ in thesame dark matter model. We find that a high $\varepsilon$ WDM and a low$\varepsilon$ CDM model -- which provide equally good fits to the $z=4$ UVluminosity function -- exhibit nearly identical evolution in the cosmic stellarmass and star formation rate densities. We show that differences in the starformation rate at fixed stellar mass are larger for variations in $\varepsilon$in a given dark matter model than they are between dark matter models; however,the scatter in star formation rates is larger between the two models than theyare when varying $\varepsilon$. Our results suggest that JWST will likely bemore informative in constraining baryonic processes operating in high-$z$galaxies than it will be in constraining the nature of dark matter.

Degeneracies between baryons and dark matter: the challenge of constraining the nature of dark matter with JWST