RIOJA I. The core of the highest redshift galaxy overdensity at $z= 7.88$ confirmed by NIRSpec/JWST

The proto-clusters in the epoch of reionization, traced by galaxies overdensity regions, are ideal laboratories to study the process of stellar assembly and cosmic reionization. We present the spectroscopic confirmation of the core of the most distant proto-cluster at $z = 7.88$, A2744-z7p9OD, with the James Webb Space Telescope NIRSpec integral field unit spectroscopy. The core region includes as many as 4 galaxies detected in [O III] 4960 A and 5008 A in a small area of $\sim 3" \times 3"$, corresponding to $\sim$ 11 kpc $\times$ 11 kpc. Three member galaxies are also tentatively detected in dust continuum in ALMA Band 6, which is consistent with their red ultraviolet continuum slopes, $\beta \sim -1.3$. The member galaxies have stellar masses in the range of log($M_{*}/M_{\rm \odot}$) $\sim 7.6-9.2$ and star formation rates of $\sim 3-50$ $M_{\rm \odot}$ yr$^{-1}$, showing a diversity in their properties. FirstLight cosmological simulations reproduce the physical properties of the member galaxies including the stellar mass, [OIII] luminosity, and dust-to-stellar mass ratio, and predict that the member galaxies are on the verge of merging in a few to several tens Myr to become a large galaxy with $M_{\rm *}\sim 6\times10^{9} M_{\rm \odot}$. The presence of a multiple merger and evolved galaxies in the core region of A2744-z7p9OD indicates that environmental effects are already at work 650 Myr after the Big Bang.