  We construct topological defects in the Liouville field theory producing jump
in the value of cosmological constant. We construct them using the
Cardy-Lewellen equation for the two-point function with defect. We show that
there are continuous and discrete families of such kind of defects. For the
continuous family of defects we also find the Lagrangian description and check
its agreement with the solution of the Cardy-Lewellen equation using the heavy
asymptotic semiclasscial limit.
