Stellar Velocity Dispersion for a Strongly-Lensed, Intermediate-Mass Quiescent Galaxy at z=2.8

Measuring stellar velocity dispersions of quiescent galaxies beyond $z\sim2$ is observationally challenging. Such measurements require near-infrared spectra with a continuum detection of at least moderate signal-to-noise, often necessitating long integrations. In this paper, we present deep X-Shooter spectroscopy of one of only two known gravitationally-lensed massive quiescent galaxies at $z>2$. This galaxy is quadruply imaged, with the brightest images magnified by a factor of $\sim5$. The total exposure time of our data is 9.8 hours on-source; however the magnification, and the slit placement encompassing 2 images, provides a total equivalent exposure time of 215 hours. From this deep spectrum we measure a redshift ($z_{\mathrm{spec}}=2.756\pm0.001$), making this one of the highest redshift quiescent galaxies that is spectroscopically confirmed. We simultaneously fit both the spectroscopic and photometric data to determine stellar population parameters and conclude this galaxy is relatively young, intermediate-mass, consistent with low dust content, and has quenched only relatively recently. This recent quenching is confirmed by strong Balmer absorption, particularly $H\delta$. Remarkably, this proves that at least some intermediate-mass galaxies have already quenched as early as $z\sim2.8$. Additionally, we have measured a velocity dispersion ($\sigma=187\pm43~\mathrm{km/s}$), making this the highest-redshift quiescent galaxy with a dispersion measurement. We confirm that this galaxy falls on the same mass fundamental plane (MFP) as galaxies at z=2.2, consistent with little to no evolution in the MFP up to z=2.8. Overall this galaxy is proof of existence of intermediate-mass quenched galaxies in the distant universe, and that lensing is a powerful tool for determining their properties with improved accuracy.