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 \( \left(3,\frac{7}{2},\frac{7}{2},4\right) \), 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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Ahn, C., Paeng, J. A supersymmetric enhancement of \( \mathcal{N} \) = 1 holographic minimal model. J. High Energ. Phys. 2019, 135 (2019). https://doi.org/10.1007/JHEP05(2019)135
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DOI: https://doi.org/10.1007/JHEP05(2019)135