  We compute the two-particle matrix element and Josephson tunneling amplitude
in a two-dimensional model of topological superconductivity which captures the
physics of the doped Mott insulator. The hydrodynamics of topological
electronic liquid consists of the compressible charge sector and the
incompressible chiral topological spin liquid. We show that ground states
differing by an odd number of particles are orthogonal and insertion of two
extra electrons is followed by the emission of soft modes of the transversal
spin current. The orthogonality catastrophe makes the physics of
superconductivity drastically different from the BCS-theory but similar to the
physics of one-dimensional electronic liquids. The wave function of a pair is
dressed by soft modes. As a result the two particle matrix element forms a
complex d-wave representation (i.e., changes sign under $90^o$ degree
rotation), although the gap in the electronic spectrum has no nodes. In
contrast to the BCS-theory the tunneling amplitude has an asymmetric broad peak
(much bigger than the gap) around the Fermi surface. We develop an operator
algebra, that allows one to compute other correlation functions.
