Duality in N=2 minimal model holography

Abstract

Recently a duality between a family of \mathcal{N}=2 supersymmetric higher spin theories on AdS3, and the 't Hooft like limit of a class of Kazama-Suzuki models (that are parametrised by N and k) was proposed. The higher spin theories can be described by a Chern-Simons theory based on the infinite-dimensional Lie algebra shs[μ], and under the duality, μis to be identified with λ=N/(N+k+1). Here we elucidate the structure of the (quantum) asymptotic symmetry algebra sW_{\infty}[μ] for arbitrary μand central charge c. In particular, we show that for each value of the central charge, there are generically four different values of μthat describe the same sW_{\infty} algebra. Among other things this proves that the quantum symmetries on both sides of the duality agree; this equivalence does not just hold in the 't Hooft limit, but even at finite N and k.

28 pages

References in corpus (9)

• 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
• Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• Triality in Minimal Model Holography
• Higher Spins in AdS and Twistorial Holography
• Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT
• Supersymmetric Chern-Simons Theories with Vector Matter
• The Large N 't Hooft Limit of Kazama-Suzuki Model

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• Instanton R-matrix and W-symmetry
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• The supersymmetric affine Yangian
• Three-Point Functions in N=2 Higher-Spin Holography
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• $\mathcal{N}=2$ Minimal Models: A Holographic Needle in a Symmetric Orbifold Haystack
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• 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
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• The $\mathcal{N}=1$ algebra ${\mathcal{W}}_{\infty }[\mu ]$ and its truncations
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• Dualities from higher-spin supergravity
• The Continuous Orbifold of N=2 Minimal Model Holography
• The Stranger Things of Symmetric Product Orbifold CFTs
• Higher Spin Currents in the N=2 Stringy Coset Minimal Model
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• The geometry of the limit of N=2 minimal models
• The large $\mathcal{N}=4$ superconformal ${\mathcal{W}}_{\infty }$ algebra
• Chiral Algebras of Two-Dimensional SYK Models
• Gluing two affine Yangians of ${\mathfrak{gl}}_1$
• Higher Spin Currents in Wolf Space for Generic N
• Extremal Higher Spin Black Holes
• Rectangular W-algebras of types $so(M)$ and $sp(2M)$ and dual coset CFTs
• The symmetric orbifold of N=2 minimal models
• The $\mathcal{N}=4$ Coset Model and the Higher Spin Algebra
• Higher Spin Currents in the Enhanced N=3 Kazama-Suzuki Model
• The $\mathcal{N}=4$ Higher Spin Algebra for Generic $\mu$ Parameter
• ABJ Theory in the Higher Spin Limit
• Holographic Renormalisation for the Spin-3 Theory and the (A)dS3/CFT2 correspondence
• Limit theories and continuous orbifolds
• Adding Complex Fermions to the Grassmannian-like Coset Model
• A note on the $\mathcal{N}=2$ super-${\mathcal{W}}_3$ holographic dictionary
• Toward a Higher-Spin Dual of Interacting Field Theories
• The Grassmannian-like Coset Model and the Higher Spin Currents
• Higher Spin Gravity and Exact Holography
• The large level limit of Kazama-Suzuki models
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• The Small $\mathcal{N}=4$ Superconformal ${\mathcal{W}}_{\infty }$ Algebra
• Self-Duality from New Massive Gravity Holography