Bulk quartic vertices from boundary four-point correlators

Xavier Bekaert (1) , Johanna Erdmenger (2) , Dmitry Ponomarev (3) , Charlotte Sleight (2)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique
2 MPI-P - Max-Planck-Institut für Physik (Werner-Heisenberg-Institut)
3 Imperial College London

We present arguments which suggest that the bulk higher-spin gravity duals of weakly-coupled conformal field theories obey some refined notion of locality. In particular, we discuss the Mellin amplitude programme in this context. We focus on the O(N) vector model and minimal higher-spin gravity as a paradigmatic example of such holographic dual pairs. We restrict ourselves to three-and four-point functions of scalar primary operators, but the qualitative conclusions are expected to hold for the generic case.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Xavier Bekaert, Johanna Erdmenger, Dmitry Ponomarev, Charlotte Sleight. Bulk quartic vertices from boundary four-point correlators. Higher Spin Gauge Theories, 2017. ⟨hal-01279811⟩