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Some formation scenarios that have been put forward to explain multiplepopulations within Globular Clusters (GCs) require that the young massivecluster have large reservoirs of cold gas within them, which is necessary toform future generations of stars. In this paper we use deep observations takenwith Atacama Large Millimeter/sub-millimeter Array (ALMA) to assess the amountof molecular gas within 3 young (50-200 Myr) massive (~10^6 Msun) clusters inthe Antennae galaxies. No significant CO(3--2) emission was found associatedwith any of the three clusters. We place upper limits for the molecular gaswithin these clusters of ~1x10^5 Msun (or <9 % of the current stellar mass). Webriefly review different scenarios that propose multiple episodes of starformation and discuss some of their assumptions and implications. Our resultsare in tension with the predictions of GC formation scenarios that expect largereservoirs of cool gas within young massive clusters at these ages.

Constraining globular cluster formation through studies of young massive clusters - V. ALMA observations of clusters in the Antennae