To slow walk is to perform a task slowly on purpose so as to drag out the time taken, usually in order to delay what the subject believes will occur next.
"Quit slow walking me!" - Quote from the TV show "Prison Break" (a prison guard instructing the prisoners to hurry up with their work, the prisoners were delaying as they used work-time as a cover for their escape)
Whilst a child might "drag his heels" when eating his dinner because he doesnt like it; an adult might be said to "slow walk".
Whilst workers might be said to be on a "go slow", that might be more of an organised event involving more than one person. Slow walking would more typically be one person slow walking another rather than an institution.