Higher spin algebras and large $\mathcal{N}=4$ holography

Abstract

A new family of higher spin algebras that arises upon restricting matrix extensions of $\mathfrak{shs}[\lambda ]$ is found. We identify coset CFTs realising these symmetry algebras, and thus propose new higher spin-CFT dual pairs. These higher spin theories arise naturally as a subsector of string theory on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ for specific ratios of the radii of the two spheres.

22 pages

References in corpus (8)

• 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
• Even spin minimal model holography
• Extended supersymmetry in AdS_3 higher spin theories
• Stringy $\mathcal{N}=(2,2)$ holography for AdS${}_3$
• The Continuous Orbifold of N=2 Minimal Model Holography

Cited by in corpus (16)

• Twisted Supergravity and Koszul Duality: A case study in AdS${}_3$
• Instanton R-matrix and W-symmetry
• Cubic interactions of massless bosonic fields in three dimensions
• Rectangular W-algebras, extended higher spin gravity and dual coset CFTs
• Rectangular W-(super)algebras and their representations
• The plane-wave spectrum from the worldsheet
• Rectangular W-algebras of types $so(M)$ and $sp(2M)$ and dual coset CFTs
• The $\mathcal{N}=4$ Coset Model and the Higher Spin Algebra
• The $\mathcal{N}=4$ Higher Spin Algebra for Generic $\mu$ Parameter
• A Supersymmetric Enhancement of $\mathcal{N}=1$ Holographic Minimal Model
• Adding Complex Fermions to the Grassmannian-like Coset Model
• The Operator Product Expansions in the $\mathcal{N}=4$ Orthogonal Wolf Space Coset Model
• Higher Spin Currents with Manifest $SO(4)$ Symmetry in the Large $\mathcal{N}=4$ Holography
• The Grassmannian-like Coset Model and the Higher Spin Currents
• The Grassmannian VOA
• Space-time symmetry from the world-sheet