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

References in corpus (11)

• 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
• Higher spin AdS_3 holography with extended supersymmetry
• The symmetry of large N=4 holography
• Strange Metals in One Spatial Dimension
• Cut-and-join operators and N=4 super Yang-Mills
• An Index for 2D field theories with large N=4 superconformal symmetry
• The Continuous Orbifold of N=2 Minimal Model Holography
• Chiral Primaries in Strange Metals

Cited by in corpus (28)

• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• String Universality for Permutation Orbifolds
• Higher Spin Black Holes with Soft Hair
• A line of CFTs: from generalized free fields to SYK
• Tensionless Superstrings: View from the Worldsheet
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Holographic Representation of Higher Spin Gauge Fields
• Tetrahedral modular graph functions
• 4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations
• Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections
• Extended supersymmetry in AdS_3 higher spin theories
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• The Continuous Orbifold of N=2 Minimal Model Holography
• Double Trace Interfaces
• Higher Spin Currents in Orthogonal Wolf Space
• Higher Spin Currents in Wolf Space for Generic N
• Twisted sectors from plane partitions
• Lectures on Higher Spin Holography
• Anomalous dimensions of higher spin currents in large N CFTs
• Three point functions in higher spin AdS_3 holography with 1/N corrections
• Higher-spin charges in Hamiltonian form. I. Bose fields
• Integrability and the Conformal Field Theory of the Higgs branch
• A Supersymmetric Enhancement of $\mathcal{N}=1$ Holographic Minimal Model
• Stringy Symmetries and the Higher Spin Square
• The Operator Product Expansions in the $\mathcal{N}=4$ Orthogonal Wolf Space Coset Model
• Holomorphic primary fields in free CFT4 and Calabi-Yau orbifolds
• The $\mathfrak{so}$-Kazama-Suzuki Models at Large Level
• The large level limit of Kazama-Suzuki models