The minimal conformal O(N) vector sigma model at d=3

Abstract

For the minimal O(N) sigma model, which is defined to be generated by the O(N) scalar auxiliary field alone, all n-point functions, till order 1/N included, can be expressed by elementary functions without logarithms. Consequently, the conformal composite fields of m auxiliary fields possess at the same order such dimensions, which are m times the dimension of the auxiliary field plus the order of differentiation.

arXiv comment15 pages

References in corpus (10)

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• AdS Dual of the Critical O(N) Vector Model
• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• Higher-Spin Gauge Theories in Four, Three and Two Dimensions
• Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence
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• A universal result on central charges in the presence of double-trace deformations
• Analysis of Higher Spin Field Equations in Four Dimensions
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Cited by in corpus (15)

• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• Higher Spin Gauge Theories in Various Dimensions
• Bounding the Space of Holographic CFTs with Chaos
• Higher Spin Superalgebras in any Dimension and their Representations
• On the Frame-Like Formulation of Mixed-Symmetry Massless Fields in (A)dS(d)
• Notes on Spinning Operators in Fermionic CFT
• Veneziano Amplitude of Vasiliev Theory
• Anomalous Dimensions from Crossing Kernels
• On the AdS Higher Spin / O(N) Vector Model Correspondence: degeneracy of the holographic image
• Bulk quartic vertices from boundary four-point correlators
• Vector model in various dimensions
• Lifting a Conformal Field Theory from D-Dimensional Flat Space to (D+1)-Dimensional Ads Space
• The background field method and critical vector models
• Coupling of Higher Spin Gauge Fields to a Scalar Field in $Ad{S}_{d+1}$ and their Holographic Images in the $d$-Dimensional Sigma Model
• CFT data in the Gross-Neveu model