(Proposal ID) S16B-006 (PI) Tanaka, Masayuki (Proposal Title) The Size-Mass Relation of Quiescent Galaxies at z~4 (Abstract) {This is re-submission of our previously accepted program S15B-025 but lost to poor conditions (natural seeing >1".0 in K).} Recent observations have revealed that galaxies undergo a factor of ~3 growth in size since z~2. Quiescent galaxies at z~2 are surprisingly compact (r_{eff} ~ 1-2kpc) and dense and this has been a challenge to our framework of galaxy formation. So far, the size-mass relation of galaxies up to z~2 has been the focus of the field, but one of the promising way to make a step forward is to go up to even higher redshifts. We have identified a number of massive (~10^{11} M_sun) quiescent galaxies at z~4 in UDS and COSMOS. Public HST/WFC3 images have revealed their extremely small sizes; r_{eff} ~ 0.05 arcsec or 0.35 kpc. However, this size is well below the pixel size of WFC3 and higher angular resolution observations are crucial for reliable size measurements. Here we propose to conduct an LGSAO+IRCS observation to achieve HWHM~0.05 arcsec, which should be sufficient to resolve r_{eff} < 0.05 arcsec for high S/N objects. We aim to measure accurate sizes of 9 quiescent galaxies and establish the size-mass relation at z~4 for the first time. We will also characterize morphology and examine if the Hubble sequence already emerged at z~4.