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We find the GKO coset construction of the dimension 4 Casimir operator thatcontains the quartic WZW currents contracted with completely symmetric SU(N)invariant tensors of ranks 4, 3, and 2. The requirements, that the operatorproduct expansion with the diagonal current is regular and it should be primaryunder the coset Virasoro generator of dimension 2, fix all the coefficients inspin-4 current, up to two unknown coefficients. The operator product expansionof coset primary spin-3 field with itself fixes them completely. We compute thethree-point functions with scalars for all values of the 't Hooft coupling inthe large N limit. At fixed 't Hooft coupling, these three-point functions aredual to that found by Chang and Yin recently in the undeformed AdS_3 bulktheory (higher spin gravity with matter).

The Coset Spin-4 Casimir Operator and Its Three-Point Functions with Scalars