Higher Spins & Strings

Abstract

It is natural to believe that the free symmetric product orbifold CFT is dual to the tensionless limit of string theory on AdS3 x S3 x T4. At this point in moduli space, string theory is expected to contain a Vasiliev higher spin theory as a subsector. We confirm this picture explicitly by showing that the large level limit of the N=4 cosets of arXiv:1305.4181, that are dual to a higher spin theory on AdS3, indeed describe a closed subsector of the symmetric product orbifold. Furthermore, we reorganise the full partition function of the symmetric product orbifold in terms of representations of the higher spin algebra (or rather its $W_{\infty }$ extension). In particular, the unbroken stringy symmetries of the tensionless limit are captured by a large chiral algebra which we can describe explicitly in terms of an infinite sum of $W_{\infty }$ representations, thereby exhibiting a vast extension of the conventional higher spin symmetry.

47 pages; ancillary file included; v2. typos corrected, minor changes in Sec.7

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• The large $\mathcal{N}=4$ superconformal ${\mathcal{W}}_{\infty }$ algebra
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• The Spectrum of Light States in Large N Minimal Models
• Chiral Primaries in Strange Metals

Cited by in corpus (141)

• The Worldsheet Dual of the Symmetric Product CFT
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• Entanglement Scrambling in 2d Conformal Field Theory
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• Bounding the Space of Holographic CFTs with Chaos
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Tensionless Strings from Worldsheet Symmetries
• A holographic dual for string theory on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$
• BPS spectrum on AdS${}_3\times$S${}^3\times$S${}^3\times$S${}^1$
• String Theory as a Higher Spin Theory
• String Universality for Permutation Orbifolds
• Higher Spin Black Holes with Soft Hair
• A line of CFTs: from generalized free fields to SYK
• Correlators of the symmetric product orbifold
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• Tensionless Superstrings: View from the Worldsheet
• Higher Spins and Yangian Symmetries
• Twisted Supergravity and Koszul Duality: A case study in AdS${}_3$
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• Vector models and generalized SYK models
• Charged Moments in $W_3$ Higher Spin Holography
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• From Higher Spins to Strings: A Primer
• The String Dual to Free $\mathcal{N}=4$ Super Yang-Mills
• Inhomogeneous Tensionless Superstrings
• Generalized Chern-Simons higher-spin gravity theories in three dimensions
• From Coxeter Higher-Spin Theories to Strings and Tensor Models
• The Worldsheet Dual of Free Super Yang-Mills in 4D
• Holographic Representation of Higher Spin Gauge Fields
• Three-point functions in AdS${}_3$/CFT${}_2$ holography
• Genus Two Partition Functions and Renyi Entropies of Large c CFTs
• Conformal blocks from Wilson lines with loop corrections
• Comments on the $S_N$ orbifold CFT in the large $N$-limit
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Supersymmetric ${\mathrm{AdS}}_3$ supergravity backgrounds and holography
• Entanglement entropy at holographic interfaces
• Deforming Symmetric Product Orbifolds: A tale of moduli and higher spin currents
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• Higher Spins and Matter Interacting in Dimension Three
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• 4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations
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• $\mathcal{N}=2$ Minimal Models: A Holographic Needle in a Symmetric Orbifold Haystack
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• Superconformal blocks from Wilson lines with loop corrections
• Higher Spin Currents in the N=2 Stringy Coset Minimal Model
• Symmetry-resolved modular correlation functions in free fermionic theories
• The plane-wave spectrum from the worldsheet
• The Operator Product Expansion between the 16 Lowest Higher Spin Currents in the N=4 Superspace
• Reflection and transmission of conformal perturbation defects
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• Chiral Algebras of Two-Dimensional SYK Models
• Correspondences among CFTs with different W-algebra symmetry
• Higher Spin Currents in Orthogonal Wolf Space
• Double Trace Interfaces
• Higher Spin Currents in Wolf Space for Generic N
• Hypersymmetric extensions of Maxwell Chern-Simons gravity in (2+1) dimensions
• Lectures on Higher Spin Holography
• Twisted sectors from plane partitions
• A Note on Quiver Yangians and $\mathcal{R}$-Matrices
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• Extremal Higher Spin Black Holes
• Higher Spin Currents in Wolf Space: Part III
• Higher-spin gauge theories in three spacetime dimensions
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• Bosonization, cocycles, and the D1-D5 CFT on the covering surface
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• The Next $16$ Higher Spin Currents and Three-Point Functions in the Large $\mathcal{N}=4$ Holography
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• Gluing affine Yangians with bi-fundamentals
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• Three point functions in higher spin AdS_3 holography with 1/N corrections
• Even spin $\mathcal{N}=4$ holography
• Marginal deformations and the Higgs phenomenon in higher spin AdS_3 holography
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• Higher-spin charges in Hamiltonian form. I. Bose fields
• The masses of higher spin fields on AdS_4 and conformal perturbation theory
• ABJ Theory in the Higher Spin Limit
• $\mathcal{N}=(2,2)$ extended $\mathfrak{sl}(3|2)$ Chern-Simons $Ad{S}_3$ supergravity with new boundaries
• Quiver Yangians and $\mathcal{W}$-Algebras for Generalized Conifolds
• Identification of Bulk coupling constant in Higher Spin/ABJ correspondence
• Marginal deformations of 3d supersymmetric U(N) model and broken higher spin symmetry
• Infinite distances in multicritical CFTs and higher-spin holography
• Integrability and the Conformal Field Theory of the Higgs branch
• Free Fermion Cyclic/Symmetric Orbifold CFTs and Entanglement Entropy
• Recent developments of the Lauricella string scattering amplitudes and their exact SL(K+3,C) Symmetry
• Conformal embeddings and higher-spin bulk duals
• Simple Unfolded Equations for Massive Higher Spins in AdS${}_3$
• Higher Spin Currents in the Orthogonal Coset Theory
• Conformal field theories dual to quantum gravity with strongly coupled matter
• Mellin amplitudes for $Ad{S}_3\times S^3$
• A Supersymmetric Enhancement of $\mathcal{N}=1$ Holographic Minimal Model
• Higher rank FZZ-dualities
• Late-time correlation functions in dS${}_3$/CFT${}_2$ correspondence
• Stringy Symmetries and the Higher Spin Square
• The Operator Product Expansions in the $\mathcal{N}=4$ Orthogonal Wolf Space Coset Model
• The Higher Spin Rectangle
• Adding Complex Fermions to the Grassmannian-like Coset Model
• On matter coupled to the higher spin square
• On tensionless string field theory in AdS${}_3$
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• On the $\mathcal{N}=3$ and $\mathcal{N}=4$ superconformal holographic dictionary
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• The large level limit of Kazama-Suzuki models
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• Higher spin holography with Galilean symmetry in general dimensions
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• On boundary conditions and spacetime/fibre duality in Vasiliev's higher-spin gravity
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• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality