Higher spin currents in Wolf space: Part II

By calculating the operator product expansions (OPEs) between the 16 higher spin currents of spins (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) in the N = 4 superconformal Wolf space coset SU(5)/SU (3) x SU (2) x U (1) realized by N = 2 WZW affine currents, the next 16 higher spin currents of spins (2, 5/2, 5/2, 3), (5/2, 3, 3, 7/2), (5/2, 3, 3, 7/2) and (3, 7/2, 7/2, 4) are determined from the right hand sides of these OPEs. Moreover, the composite fields consisting of both the 11 currents in the large N = 4 nonlinear superconformal algebra and the above 16 lowest higher spin currents also occur in the right hand sides of these OPEs. The latter appears quadratically (and linearly) in the fusion rules together with large N = 4 nonlinear superconformal family of the identity operator.