A Supersymmetric Enhancement of $\mathcal{N}=1$ Holographic Minimal Model

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 $(\frac{3}{2},2,2,\frac{5}{2})$ in terms of two adjoint fermion types for generic $N$. We subsequently determine operator product expansions between the lowest and second lowest ($\mathcal{N}=2$) higher spin multiplet of spins $(3,\frac{7}{2},\frac{7}{2},4)$, and the corresponding Vasiliev's oscillator formalism with matrix generalization on $Ad{S}_3$ 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 $\mathcal{N}=2$ superconformal algebra in two dimensions, operator product expansions provide asymptotic symmetry algebra in $Ad{S}_3$ higher spin theory.

44 pages; the first paragraph in page 4 and the footnote 5 added and to appear in JHEP

References in corpus (7)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Symmetries of Holographic Minimal Models
• Higher Spins & Strings
• Higher spin AdS_3 holography with extended supersymmetry
• Strange Metals in One Spatial Dimension
• Higher Spin Currents in the Enhanced N=3 Kazama-Suzuki Model

Cited by in corpus (1)

• The Operator Product Expansions in the $\mathcal{N}=4$ Orthogonal Wolf Space Coset Model