Classical hamiltonian reduction on D(2|1;α) Chern–Simons gauge theory and large N=4 superconformal symmetry

3d Chern–Simons gauge theory has a strong connection with 2d CFT and link invariants in knot theory. We impose some constraints on the D(2|1;α) CS theory in the similar context of the hamiltonian reduction of 2d superconformal algebras. There Hilbert states in D(2|1;α) CS theory are partly identified with characters of the large N=4 SCFT by their transformation properties.