A stellar dynamical mass measure of an inactive black hole in the distant universe

Understanding the coevolution of supermassive black holes and their host galaxies requires tracing their growth over time. Mass measurements of distant black holes have been limited to active nuclei and commonly rely on spatially unresolved observations, leading to large uncertainties. Accurate masses can be determined by resolving the kinematics of stars within the sphere of influence, which has heretofore been possible only in the local universe. Using JWST, we have measured the mass $M_{\bullet}=6.0^{+2.1}_{-1.7}\times10^9$ ${\rm M}_{\odot}$ of an inactive black hole in a gravitationally lensed quiescent galaxy at redshift $z=1.95$, along with detailed host properties. Comparisons to local galaxies suggest that the correlation between $M_{\bullet}$ and bulge mass has evolved substantially, whereas the correlation with stellar velocity dispersion may have been in place for 10 Gyr.