Coupling of Higher Spin Gauge Fields to a Scalar Field in AdS_d+1 and their Holographic Images in the d-Dimensional Sigma Model

2004/01/30 by Thorsten Leonhardt, T. Leonhardt, Ruben Manvelyan +5 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0401240

19 pages, Latex

arxiv created 2004/01/30 · openalex publication_date 2004/01/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The three-point functions of two scalar fields σ and the higher spin field h^(ℓ) of HS(4) on the one side and of their proposed holographic images α and \mathcalJ^(ℓ) of the minimal conformal O(N) sigma model of dimension three on the other side are evaluated at leading perturbative order and compared in order to fix the coupling constant of HS(4). This necessitates a careful analysis of the local current Ψ^(ℓ) to which h^(ℓ) couples in HS(4) and which is bilinear in σ.

Cited by

• The quantum one loop trace anomaly of the higher spin conformal conserved currents in the bulk of AdS4

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