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

Understand

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 AdS$_4$ and the free $O\left(N\right)$ vector model in three dimensions.
• In particular, we determine the exact explicit form of the derivative expansion of the bulk scalar quartic vertex.