  Within the framework of warped convolutions we deform the massless free
scalar field. The deformation is performed by using the generators of the
special conformal transformations. The investigation shows that the deformed
field turns out to be wedge-local. Furthermore, it is shown that the spacetime
induced by the deformation with the special conformal operators is nonconstant
noncommutative. The noncommutativity is obtained by calculating the deformed
commutator of the coordinates.
