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We study how the indirect observation of dark matter substructures in theMilky Way, using recent stellar stream studies, translates into constraints fordifferent dark matter models. Particularly, we use the measured number of darksubhalos in the mass range $10^7-10^9\,{\rm M_{\odot}}$ to constrainmodifications of the subhalo mass function compared to the cold dark matterscenario. We obtain the lower bounds $m_{\rm WDM} > 3.2\,{\rm keV}$ and $m_{\rmFDM} > 5.2\times 10^{-21}\,{\rm eV}$ on the warm dark matter and fuzzy darkmatter particle mass, respectively. When dark matter is coupled to a darkradiation bath, we find that kinetic decoupling must take place at temperatureshigher than $T_{\rm kd} > 0.7\,{\rm keV}$. We also discuss future prospects ofstellar stream observations.

Implications of Milky Way Substructures for the Nature of Dark Matter