Who are the sick men and how will the "piece of work" make them whole in the quote a "piece of work that will make sick men whole" (2.1.354).

Ligarius is the sick man who wants to fight for the honor of Rome. He says that getting a task from Brutus that honors Rome will make him cast off his sickness: the noble cause will make sick men healthy.

By all the gods that Romans bow before,
I here discard my sickness! Soul of Rome,
Brave son derived from honorable loins,
Thou, like an exorcist, hast conjured up