The symmetry of large N=4 holography

Abstract

For the proposed duality relating a family of N=4 superconformal coset models to a certain supersymmetric higher spin theory on AdS_3, the asymptotic symmetry algebra of the bulk description is determined. It is shown that, depending on the choice of the boundary charges, one may obtain either the linear or the non-linear superconformal algebra on the boundary. We compare the non-linear version of the asymptotic symmetry algebra with the non-linear coset algebra and find non-trivial agreement in the 't Hooft limit, thus giving strong support for the proposed duality. As a by-product of our analysis we also show that the W_infinity symmetry of the coset theory is broken under the exactly marginal perturbation that preserves the N=4 superconformal algebra.

26 pages

References in corpus (4)

• 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 in AdS and Twistorial Holography

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• The Continuous Orbifold of N=2 Minimal Model Holography
• Higher Spin Currents in Wolf Space: Part II
• Higher Spin Currents in Orthogonal Wolf Space
• Higher Spin Currents in Wolf Space for Generic N
• Chiral Primaries in Strange Metals
• The $\mathcal{N}=4$ Higher Spin Algebra for Generic $\mu$ Parameter
• Aspects of Higher-Spin Theory with Fermions
• Adding Complex Fermions to the Grassmannian-like Coset Model
• On the $\mathcal{N}=3$ and $\mathcal{N}=4$ superconformal holographic dictionary
• Space-time symmetry from the world-sheet
• The $\mathfrak{so}$-Kazama-Suzuki Models at Large Level