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The formation of the first stars in the high-redshift Universe is a sensitiveprobe of the small-scale, particle physics nature of dark matter (DM). We carryout cosmological simulations of primordial star formation in ultra-light,axion-like particle DM cosmology, with masses of $10^{-22}$ and $10^{-21}\,{\rmeV}$, with de Broglie wavelengths approaching galactic scales ($\sim$kpc). Theonset of star formation is delayed, and shifted to more massive hoststructures. For the lightest DM particle mass explored here, first stars format $z \sim 7$ in structures with $\sim 10^9\,{\rm M}_\odot$, compared to thestandard minihalo environment within the $\Lambda$ cold dark matter($\Lambda$CDM) cosmology, where $z \sim 20 - 30$ and $\sim 10^5 - 10^6\,{\rmM}_\odot$. Despite this greatly altered DM host environment, the thermodynamicbehaviour of the metal-free gas as it collapses into the DM potential wellasymptotically approaches a very similar evolutionary track. Thus, thefragmentation properties are predicted to remain the same as in $\Lambda$CDMcosmology, implying a similar mass scale for the first stars. These resultspredict intense starbursts in the axion cosmologies, which may be amenable toobservations with the {\it James Webb Space Telescope}.

First star formation in ultra-light particle dark matter cosmology