Towards Massless Sector of Tensionless Strings on $Ad{S}_5$

Abstract

{A} Higher Spin Gravity in five dimensions is constructed. It was shown recently that constructing formally consistent classical equations of motion of higher spin gravities is equivalent to finding a certain deformation of a given higher spin algebra. A strong homotopy algebra encoding the interaction vertices then follows. We propose two different and novel realizations of the deformed higher spin algebra in the case of five dimensions: one in terms of the universal enveloping algebra of $su(2,2)$ and the other by means of oscillator variables. Both the new realizations admit supersymmetric extensions and the $\mathcal{N}=8$ case underlies the massless sector of tensionless strings.

arXiv comment20 pages; replaced with the published version, few comments added

References in corpus (56)

• AdS Dual of the Critical O(N) Vector Model
• Holography from Conformal Field Theory
• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• Massless Higher Spins and Holography
• 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
• Higher-Spin Gauge Interactions for Massive Matter Fields in 3D AdS Space-Time
• Stringy gravity, interacting tensionless strings and massless higher spins
• Minimal Model Holography
• The Worldsheet Dual of the Symmetric Product CFT
• Tensor Constructions of Open String Theories I: Foundations
• Conformal Higher Spin Theory
• Light-Front Higher-Spin Theories in Flat Space
• Quartic AdS Interactions in Higher-Spin Gravity from Conformal Field Theory
• Notes On Higher Spin Symmetries
• Cubic Interactions of Bosonic Higher Spin Gauge Fields in $Ad{S}_5$
• Effective action in a higher-spin background
• On the uniqueness of higher-spin symmetries in AdS and CFT
• Doubletons and 5D Higher Spin Gauge Theory
• Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory
• Conformal and Quasiconformal Realizations of Exceptional Lie Groups
• Quantum Chiral Higher Spin Gravity
• Free Large N Supersymmetric Yang-Mills Theory as a String Theory
• Higher-Spin Gauge Theories and Bulk Locality
• On limits of superstring in AdS_5 x S^5
• N=1 Supersymmetric Theory of Higher Spin Gauge Fields in AdS(5) at the Cubic Level
• Analysis of Higher Spin Field Equations in Four Dimensions
• Light-Front Bootstrap for Chern-Simons Matter Theories
• Chiral Higher Spin Theories and Self-Duality
• Towards Massless Higher Spin Extension of D=5, N=8 Gauged Supergravity
• Resolving Witten's Superstring Field Theory
• A Fiber Approach to Harmonic Analysis of Unfolded Higher-Spin Field Equations
• Strong obstruction of the Berends-Burgers-van Dam spin-3 vertex
• On Higher Spins with a Strong Sp(2,R) Condition
• Constraining conformal field theories with a higher spin symmetry in d> 3 dimensions
• On the covariant quantization of tensionless bosonic strings in AdS spacetime
• FV-type action for AdS(5) mixed-symmetry fields
• Higher Spin Gravity Amplitudes From Zero-form Charges
• 7D Bosonic Higher Spin Theory: Symmetry Algebra and Linearized Constraints
• A Note on (Non)-Locality in Holographic Higher Spin Theories
• Massless arbitrary spin fields in AdS(5)
• Exceptional F(4) Higher-Spin Theory in AdS(6) at One-Loop and other Tests of Duality
• Geometry and Observables in Vasiliev's Higher Spin Gravity
• Exact higher-spin symmetry in CFT: free fermion correlators from Vasiliev Theory
• Mixed-symmetry massive fields in AdS(5)
• The Holographic Fishchain
• Constraining conformal field theories with a higher spin symmetry in d=4
• Notes on higher-spin algebras: minimal representations and structure constants
• Minimal unitary representation of SU(2,2) and its deformations as massless conformal fields and their supersymmetric extensions
• Formal Higher Spin Gravities
• Type-B Formal Higher Spin Gravity
• Deformed Twistors and Higher Spin Conformal (Super-)Algebras in Six Dimensions
• Noncommutative Wilson lines in higher-spin theory and correlation functions of conserved currents for free conformal fields
• Mixed-symmetry fields in AdS(5), conformal fields, and AdS/CFT
• Frobenius-Chern-Simons gauge theory
• Hochschild cohomology of the Weyl algebra and Vasiliev's equations

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