  It has recently been proposed that fluctuating ``pulled'' fronts propagating
into an unstable state should not be in the standard KPZ universality class for
rough interface growth. We introduce an effective field equation for this class
of problems, and show on the basis of it that noisy pulled fronts in {\em d+1}
bulk dimensions should be in the universality class of the {\em (d+1)+1}D KPZ
equation rather than of the {\em d+1}D KPZ equation. Our scenario ties together
a number of heretofore unexplained observations in the literature, and is
supported by previous numerical results.
