Three point functions in the large N=4 holography

Sixteen higher spin currents with 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) were previously obtained in an extension of the large N=4 'nonlinear' superconformal algebra in two dimensions. By carefully analyzing the zero-mode eigenvalue equations, three-point functions of bosonic (higher spin) currents are obtained with two scalars for any finite N (where SU(N+2) is the group of coset) and k (the level of spin-1 Kac Moody current). Furthermore, these 16 higher spin currents are implicitly obtained in an extension of large N=4 'linear' superconformal algebra for generic N and k. The corresponding three-point functions are also determined. Under the large N 't Hooft limit, the two corresponding three-point functions in the nonlinear and linear versions coincide even though they are completely different for finite N and k.