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.

arXiv comment44 pages; the first paragraph in page 4 and the footnote 5 added and to appear in JHEP

References in corpus (44)

• AdS Dual of the Critical O(N) Vector Model
• W-symmetry in Conformal Field Theory
• 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
• An AdS_3 Dual for Minimal Model CFTs
• Higher-Spin Gauge Interactions for Massive Matter Fields in 3D AdS Space-Time
• Measurement of $J/\psi$ helicity distributions in inelastic photoproduction at HERA
• Minimal Model Holography
• Symmetries of Holographic Minimal Models
• Triality in Minimal Model Holography
• Higher Spins & Strings
• Asymptotic W-symmetries in three-dimensional higher-spin gauge theories
• Tensionless String Spectra on ${\mathrm{AdS}}_3$
• Large N=4 Holography
• Superstrings on AdS3 at k=1
• A holographic dual for string theory on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$
• Super-W(infinity) Asymptotic Symmetry of Higher-Spin AdS(3) Supergravity
• Scalar fields and three-point functions in D=3 higher spin gravity
• String Theory as a Higher Spin Theory
• Extended higher spin holography and Grassmannian models
• Higher spins on AdS${}_3$ from the worldsheet
• Higher spin AdS_3 holography with extended supersymmetry
• Stringy AdS3 from the Worldsheet
• N=1 supersymmetric higher spin holography on AdS_3
• The Coset Spin-4 Casimir Operator and Its Three-Point Functions with Scalars
• Strange Metals in One Spatial Dimension
• 3D Higher-Spin Gauge Theories with Matter
• Supersymmetric ${\mathrm{AdS}}_3$ supergravity backgrounds and holography
• The Large N 't Hooft Limit of Kazama-Suzuki Model
• Symmetries of Holographic Super-Minimal Models
• Stringy $\mathcal{N}=(2,2)$ holography for AdS${}_3$
• Rectangular W-algebras, extended higher spin gravity and dual coset CFTs
• Higher Spin Currents in the N=1 Stringy Coset Minimal Model
• Higher spin algebras and large $\mathcal{N}=4$ holography
• Higher Spin Currents with Arbitrary N in the N=1 Stringy Coset Minimal Model
• The $\mathcal{N}=1$ algebra ${\mathcal{W}}_{\infty }[\mu ]$ and its truncations
• The Operator Product Expansion of the Lowest Higher Spin Current at Finite N
• Higher Spin Currents in the N=2 Stringy Coset Minimal Model
• A Mathematica Package for Computing N=2 Superfield Operator Product Expansions
• Higher Spin Currents in the Holographic N=1 Coset Minimal Model
• Higher Spin Currents in the Enhanced N=3 Kazama-Suzuki Model
• Higher Spin Currents in the Orthogonal Coset Theory
• Conformal embeddings and higher-spin bulk duals
• Symmetry Algebras of Stringy Cosets

Cited by in corpus (5)

• The $\mathcal{N}=4$ Higher Spin Algebra for Generic $\mu$ Parameter
• The $\mathcal{N}=4$ Coset Model and the Higher Spin Algebra
• The Operator Product Expansions in the $\mathcal{N}=4$ Orthogonal Wolf Space Coset Model
• Adding Complex Fermions to the Grassmannian-like Coset Model
• Fermionic Construction in the Supersymmetric Coset Model