A supersymmetric enhancement of $$ \mathcal{N} $$ = 1 holographic minimal model

Abstract

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