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The MAMMOTH-I Nebula at redshift 2.3 is one of the largest known Ly-alphanebulae in the Universe, spanning ~440 kpc. Enormous Ly-alpha nebulae likeMAMMOTH-I typically trace the densest and most active regions of galaxyformation. Using sensitive low-surface-brightness observations of CO(1-0) withthe Very Large Array, we trace the cold molecular gas in the inner 150 kpc ofthe MAMMOTH-I Nebula. CO is found in four regions that are associated witheither galaxies or groups of galaxies that lie inside the nebula. In three ofthe regions, the CO stretches up to ~30 kpc into the circum-galactic medium(CGM). In the centermost region, the CO has a very low velocity dispersion(FWHM$_{\rm CO}$ ~ 85 km/s), indicating that this gas is dynamically cold. Thisdynamically cold gas coincides with diffuse restframe optical light in the CGMaround a central group of galaxies, as discovered with the Hubble SpaceTelescope. We argue that this likely represents cooling of settled and enrichedgas in the center of MAMMOTH-I. This implies that the dynamically cold gas inthe CGM, rather than the obscured AGN, marks the core of the potential well ofthis Ly-alpha nebula. In total, the CO in the MAMMOTH-I Nebula traces amolecular gas mass of M$_{\rm H2}$ ~ 1.4 ($\alpha_{\rm CO}$/3.6) $\times$10$^{11}$ M$_{\odot}$, with roughly 50% of the CO(1-0) emission found in theCGM. Our results add to the increasing evidence that extended reservoirs ofmolecular gas exist in the CGM of massive high-z galaxies and proto-clusters.

The cold circumgalactic environment of MAMMOTH-I: dynamically cold gas in the core of an Enormous Ly-alpha Nebula