  For the N=4 superconformal coset theory described by SU(N+2)/SU(N) (that
contains a Wolf space) with N=3, the N=2 WZW affine current algebra with
constraints is obtained. The 16 generators of the large N=4 linear
superconformal algebra are described by those WZW affine currents explicitly.
By factoring out four spin-1/2 currents and the spin-1 current from these 16
generators, the remaining 11 generators (spin-2 current, four spin-3/2
currents, and six spin-1 currents) corresponding to the large N=4 nonlinear
superconformal algebra are obtained.
  Based on the recent work by Gaberdiel and Gopakumar on the large N=4
holography, the extra 16 currents, with spin contents (1, 3/2, 3/2, 2), (3/2,
2, 2, 5/2), (3/2, 2, 2, 5/2), and (2, 5/2, 5/2, 3) described in terms of N=2
multiplets, are obtained and realized by the WZW affine currents. As a first
step towards N=4 W algebra (which is NOT known so far), the operator product
expansions (OPEs) between the above 11 currents and these extra 16 higher spin
currents are found explicitly. It turns out that the composite fields with
definite U(1) charges, made of above (11+16) currents (which commute with the
Wolf space subgroup SU(N=3) x SU(2) x U(1) currents), occur in the right hand
sides of these OPEs.
