### Coupling of Higher Spin Gauge Fields to a Scalar Field in $AdS_{d+1}$ and their Holographic Images in the $d$-Dimensional Sigma ModelCoupling of Higher Spin Gauge Fields to a Scalar Field in $AdS_{d+1}$ and their Holographic Images in the $d$-Dimensional Sigma Model

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 Author Leonhardt, T. ♦ Manvelyan, R. ♦ Ruehl, W. Source arXiv.org Content type Text File Format PDF Date of Submission 2004-01-30 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics Subject Keyword High Energy Physics - Theory ♦ physics:hep-th Abstract The three-point functions of two scalar fields $\sigma$ and the higher spin field $h^{(\ell)}$ of HS(4) on the one side and of their proposed holographic images $\alpha$ and $\mathcal{J^{(\ell)}}$ 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 $\Psi^{(\ell)}$ to which $h^{(\ell)}$ couples in HS(4) and which is bilinear in $\sigma$. Educational Use Research Learning Resource Type Article Page Count 19