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Article Dans Une Revue Journal of High Energy Physics Année : 2015

Quartic AdS Interactions in Higher-Spin Gravity from Conformal Field Theory

Johanna Erdmenger
  • Fonction : Auteur
Charlotte Sleight
  • Fonction : Auteur
Dmitry Ponomarev
  • Fonction : Auteur

Résumé

Clarifying the locality properties of higher-spin gravity is a pressing task, but notoriously difficult due to the absence of a weakly-coupled flat regime. The simplest non-trivial case where this question can be addressed is the quartic self-interaction of the AdS scalar field present in the higher-spin multiplet. We investigate this issue in the context of the holographic duality between the minimal bosonic higher-spin theory on AdS4 and the free O(N) vector model in three dimensions. In particular, we determine the exact explicit form of the derivative expansion of the bulk scalar quartic vertex. The quartic vertex is obtained from the field theory four-point function of the operator dual to the bulk scalar, by making use of our previous results for the Witten diagrams of higher-spin exchanges. This is facilitated by establishing the conformal block expansions of both the boundary four-point function and the dual bulk Witten diagram amplitudes. We show that the vertex we find satisfies a generalised notion of locality.

Dates et versions

hal-01266452 , version 1 (02-02-2016)

Identifiants

Citer

Xavier Bekaert, Johanna Erdmenger, Charlotte Sleight, Dmitry Ponomarev. Quartic AdS Interactions in Higher-Spin Gravity from Conformal Field Theory. Journal of High Energy Physics, 2015, 1511, pp.149. ⟨10.1007/JHEP11(2015)149⟩. ⟨hal-01266452⟩
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