Abstract
By studying the mathcal{N} = 1 holographic minimal model at the “critical” level, we obtain the lowest mathcal{N} = 2 higher spin multiplet of spins left(frac{3}{2},2,2,frac{5}{2}right) in terms of two adjoint fermion types for generic N. We subsequently determine operator product expansions (between the lowest and second lowest ( mathcal{N} = 2) higher spin multiplet of spins left(3,frac{7}{2},frac{7}{2},4right) , and the corresponding Vasiliev’s oscillator formalism with matrix generalization on AdS3 higher spin theory in the extension of OSp(2|2) superconformal algebra. Under the large N limit (equivalent to large central charge) in the extension of mathcal{N} = 2 superconformal algebra in two dimensions, operator product expansions provide asymptotic symmetry algebra in AdS3 higher spin theory.
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