Abstract
We construct the lowest higher spin-2 current in terms of the spin-1 and the spin-[Formula: see text] currents living in the orthogonal [Formula: see text] Wolf space coset theory for general [Formula: see text]. The remaining 15 higher spin currents are determined. We obtain the three-point functions of bosonic (higher) spin currents with two scalars for finite [Formula: see text] and [Formula: see text] (the level of the spin-1 current). By multiplying [Formula: see text] into the above Wolf space coset theory, the other 15 higher spin currents together with the above lowest higher spin-2 current are realized in the extension of the large [Formula: see text] linear superconformal algebra. Similarly, the three-point functions of bosonic (higher) spin currents with two scalars for finite [Formula: see text] and [Formula: see text] are obtained. Under the large [Formula: see text] ’t Hooft limit, the two types of three-point functions in the nonlinear and linear versions coincide as in the unitary coset theory found previously.
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