Exact higher-spin symmetry in CFT: free fermion correlators from Vasiliev Theory

Abstract

N-point correlation functions of conserved currents and weight-two scalar operators of the three-dimensional free fermion vector model are found as invariants of the higher-spin symmetry in four-dimensional AdS. These are the correlators of the unbroken Vasiliev higher-spin theory. The results extend the recent work arXiv:1210.7963 and are complementary to arXiv:1301.3123 where the correlators were computed entirely on the boundary.

20 pages, cosmetic changes in (10)

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
• Higher Spins in AdS and Twistorial Holography
• Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory
• Operator algebra of free conformal currents via twistors
• Higher Spin Gravity Amplitudes From Zero-form Charges
• A note on three-point functions of conserved currents
• Towards higher-spin holography in ambient space of any dimension

Cited by in corpus (39)

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• Partition Functions and Casimir Energies in Higher Spin AdS_{d+1}/CFT_d
• More on Quantum Chiral Higher Spin Gravity
• TASI Lectures on the Higher Spin - CFT duality
• From Higher Spins to Strings: A Primer
• One-loop Finiteness of Chiral Higher Spin Gravity
• The Holographic Geometry of the Renormalization Group and Higher Spin Symmetries
• Chern-Simons Matter Theories and Higher Spin Gravity
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• Constraining momentum space correlators using slightly broken higher spin symmetry
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• 2D sigma models and differential Poisson algebras
• Four point functions in CFT's with slightly broken higher spin symmetry
• CFT adapted approach to massless fermionic fields, AdS/CFT, and fermionic conformal fields
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• Higher-spin gravity as a theory on a fixed (anti) de Sitter background
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• $A_{\infty }$ Algebras from Slightly Broken Higher Spin Symmetries
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• Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators
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• Correlation Functions of Sp(2n) Invariant Higher-Spin Systems
• Differential Poisson Sigma Models with Extended Supersymmetry
• On correlation functions as higher-spin invariants
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• Invariant traces of the flat space chiral higher-spin algebra as scattering amplitudes