Large N=4 Holography

Abstract

The class of 2d minimal model CFTs with higher spin AdS3 duals is extended to theories with large N=4 superconformal symmetry. We construct a higher spin theory based on the global D(2,1|alpha) superalgebra, and propose a large N family of cosets as a dual CFT description. We also indicate how a non-abelian version of this Vasiliev higher spin theory might give an alternative description of IIB string theory on an AdS3 x S3 x S3 x S1 background.

41 pages, LaTeX

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 in AdS and Twistorial Holography
• Quantum W-symmetry in AdS_3
• Even spin minimal model holography
• Strange Metals in One Spatial Dimension
• N=1 extension of minimal model holography

Cited by in corpus (96)

• Higher Spins & Strings
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• The Holographic Dual of AdS3 x S3 x S3 x S1
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• A holographic dual for string theory on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$
• All-loop worldsheet S matrix for AdS_3 x S^3 x T^4
• Towards integrability for AdS3/CFT2
• BPS spectrum on AdS${}_3\times$S${}^3\times$S${}^3\times$S${}^1$
• String Theory as a Higher Spin Theory
• Extended higher spin holography and Grassmannian models
• Comments on Renyi entropy in AdS${}_3$/CFT${}_2$
• Higher spin AdS_3 holography with extended supersymmetry
• Higher spins on AdS${}_3$ from the worldsheet
• Strings on ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$
• Exceptional F(4) Higher-Spin Theory in AdS(6) at One-Loop and other Tests of Duality
• W Symmetry and Integrability of Higher spin black holes
• The symmetry of large N=4 holography
• From Higher Spins to Strings: A Primer
• The Worldsheet Dual of Free Super Yang-Mills in 4D
• Conformal blocks from Wilson lines with loop corrections
• Large superconformal near-horizons from M-theory
• Perturbations of W(infinity) CFTs
• Instanton R-matrix and W-symmetry
• On the coset duals of extended higher spin theories
• Stringy $\mathcal{N}=(2,2)$ holography for AdS${}_3$
• Extended supersymmetry in AdS_3 higher spin theories
• Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections
• Higher Spin Currents in Wolf Space: Part I
• Rectangular W-algebras, extended higher spin gravity and dual coset CFTs
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• Perturbing the symmetric orbifold from the worldsheet
• Correlation functions of symmetric orbifold from AdS${}_3$ string theory
• Higher spins in the symmetric orbifold of K3
• Higher spin algebras and large $\mathcal{N}=4$ holography
• Rectangular W-(super)algebras and their representations
• Higher Spin Currents with Arbitrary N in the N=1 Stringy Coset Minimal Model
• The Continuous Orbifold of N=2 Minimal Model Holography
• Superconformal blocks from Wilson lines with loop corrections
• Chern-Simons theory coupled to bifundamental scalars
• Higher Spin Currents in the N=2 Stringy Coset Minimal Model
• The Operator Product Expansion between the 16 Lowest Higher Spin Currents in the N=4 Superspace
• Symmetry-resolved modular correlation functions in free fermionic theories
• Spin-5 Casimir Operator and Its Three-Point Functions with Two Scalars
• Higher Spin Currents in the Holographic N=1 Coset Minimal Model
• Higher Spin Currents in Wolf Space: Part II
• ABJ Quadrality
• Correspondences among CFTs with different W-algebra symmetry
• Higher Spin Currents in Wolf Space for Generic N
• Anomalies as Obstructions: from Dimensional Lifts to Swampland
• Higher Spin Currents in Orthogonal Wolf Space
• Chiral Primaries in Strange Metals
• Twisted sectors from plane partitions
• Higher Spin Currents in Wolf Space: Part III
• Rectangular W-algebras of types $so(M)$ and $sp(2M)$ and dual coset CFTs
• Anomalous dimensions of higher spin currents in large N CFTs
• Correspondences between WZNW models and CFTs with W-algebra symmetry
• On generalised D1-D5 near horizons and their spectra
• Higher-spin gauge theories in three spacetime dimensions
• The Next $16$ Higher Spin Currents and Three-Point Functions in the Large $\mathcal{N}=4$ Holography
• Higher Spin Currents in the Enhanced N=3 Kazama-Suzuki Model
• The $\mathcal{N}=4$ Higher Spin Algebra for Generic $\mu$ Parameter
• The $\mathcal{N}=4$ Coset Model and the Higher Spin Algebra
• The symmetric orbifold of N=2 minimal models
• Higgs phenomenon for higher spin fields on AdS_3
• Three Point Functions in the N=4 Orthogonal Coset Theory
• Even spin $\mathcal{N}=4$ holography
• Three point functions in higher spin AdS_3 holography with 1/N corrections
• Marginal deformations and the Higgs phenomenon in higher spin AdS_3 holography
• Marginal deformations of 3d supersymmetric U(N) model and broken higher spin symmetry
• The masses of higher spin fields on AdS_4 and conformal perturbation theory
• Identification of Bulk coupling constant in Higher Spin/ABJ correspondence
• ABJ Theory in the Higher Spin Limit
• Aspects of Higher-Spin Theory with Fermions
• Unitary W-algebras and three-dimensional higher spin gravities with spin one symmetry
• Relative entropy in higher spin holography
• Higher Spin Currents in the Orthogonal Coset Theory
• A Supersymmetric Enhancement of $\mathcal{N}=1$ Holographic Minimal Model
• Late-time correlation functions in dS${}_3$/CFT${}_2$ correspondence
• Higher rank FZZ-dualities
• Deformations of large N=(4,4) 2D SCFT from 3D gauged supergravity
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• On matter coupled to the higher spin square
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• The Operator Product Expansions in the $\mathcal{N}=4$ Orthogonal Wolf Space Coset Model
• The Grassmannian-like Coset Model and the Higher Spin Currents
• Higher Spin Currents with Manifest $SO(4)$ Symmetry in the Large $\mathcal{N}=4$ Holography
• Wolf Space Coset Spectrum in the Large $\mathcal{N}=4$ Holography
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• The $\mathfrak{so}$-Kazama-Suzuki Models at Large Level
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• Structure of the $\mathcal{N}=4$ chiral algebra
• Correlator correspondences for subregular $\mathcal{W}$-algebras and principal $\mathcal{W}$-superalgebras