Even spin $\mathcal{N}=4$ holography

Abstract

A two-dimensional Sp($2N$) vector model with small $\mathcal{N}=4$ superconformal symmetry is formulated, and its chiral algebra is shown to be generated by superprimary fields of even conformal weight. This vector model is the large level limit of a coset theory with large $\mathcal{N}=4$, whose proposed AdS${}_3$ dual is a minimal Vasiliev higher spin theory with gauge algebra generated by fields of even spin. The relation of this vector model to the symmetric product orbifold, dual to tensionless strings in AdS${}_3$ $\times$ S${}^3$ $\times$ ${\mathbb{T}}^4$, is also worked out.

Accepted for publication in JHEP; references added; comments added to the introduction; details added to the final section

References in corpus (7)

• Higher Spins & Strings
• Higher Spins in AdS and Twistorial Holography
• Higher-Spin Algebras, Holography and Flat Space
• The symmetry of large N=4 holography
• Even spin minimal model holography
• Extended supersymmetry in AdS_3 higher spin theories
• The Continuous Orbifold of N=2 Minimal Model Holography

Cited by in corpus (8)

• Inhomogeneous Tensionless Superstrings
• Higher spin algebras and large $\mathcal{N}=4$ holography
• ABJ Quadrality
• The $\mathcal{N}=4$ Coset Model and the Higher Spin Algebra
• The $\mathcal{N}=4$ Higher Spin Algebra for Generic $\mu$ Parameter
• Adding Complex Fermions to the Grassmannian-like Coset Model
• The Operator Product Expansions in the $\mathcal{N}=4$ Orthogonal Wolf Space Coset Model
• The Higher Spin Rectangle