  Up to now the raise and peel model was the single known example of a
one-dimensional stochastic process where one can observe conformal invariance.
The model has one-parameter.
  Depending on its value one has a gapped phase, a critical point where one has
conformal invariance and a gapless phase with changing values of the dynamical
critical exponent $z$. In this model, adsorption is local but desorption is
not. The raise and strip model presented here in which desorption is also
nonlocal, has the same phase diagram. The critical exponents are different as
are some physical properties of the model. Our study suggest the possible
existence of a whole class of stochastic models in which one can observe
conformal invariance.
