Starbursts may proceed in the formation of super star clusters (SSCs). And most SSCs might have formed out of the clumps of dense cores associated with the complexes of the giant molecular clouds (GMCs). CO traces bulk of the molecular gas, but not the dense clumps of GMC cores where gas density is more than two orders of magnitude higher than the average. High-dipole moment molecules such as HCN trace much denser molecular gas and strongly correlate with the far-infrared (FIR) emission for essential all star-forming systems near and far. Such a tight lin- ear FIR-HCN correlation demonstrates that the star formation rate depends linearly upon the mass of dense molecular gas and the GMC cores might be the ba- sic units for massive star formation in galaxies. The enormous order-of-magnitude increases in both the spatial resolution and sensitivity of the ALMA will revolutionize our understanding of the formation of massive stars/SSCs and dense clumps of molecular gas by revealing many such dense clumps of the GMC cores in nearby starburst systems, reminiscent of the abundant SSCs discovered by the HST in starburst galaxies such as the Antennae galaxies.