As I understand it, the "cut break" or "soft break" is basically what SJM described. You cut the 1 ball into the side pocket opposite the side you are breaking from.
Made popular by the Sardine gizmo and the WPBA on ESPN.
It's not too difficult, watch where the one comes off the side rail and adjust your contact point accordingly. The CB should come off the long rail and back to the center of the table.
Kinda like this:
START(
%AN7O5%BL7P8%CJ5O4%DL7N1%EM7P1%FK6P1%GK6N8%HM7N8%IL7O4%Pg7Y2
%WZ7D0%XO6N9%YP2P4%Zf6X8%[Q3Z2%\O2P1%]V0Q5%^Q5Z8%eB7a6
)END
-CM