What was the name of the branch of abstract expressionism that had the artists using their whole bodies, almost like dancers, to apply the paint to the painted surface?

Action painters

Explanation:

The action painters were led by Jackson Pollock and Willem de Kooning, who worked in a spontaneous improvisatory manner often using large brushes to make sweeping gestural marks. Pollock famously placed his canvas on the ground and danced around it pouring paint from the can or trailing it from the brush or a stick. In this way the action painters directly placed their inner impulses onto the canvas.

your question isn't complete