Boundary conditions for conformally coupled scalar in AdS(4)

Abstract

We consider conformally coupled scalar with phi(4) coupling in AdS(4) and study its various boundary conditions on AdS boundary. We have obtained perturbative solutions of equation of motion of the conformally coupled scalar with power expansion order by order in phi(4) coupling lambda up to lambda(2) order. In its dual CFT, we get 2, 4 and 6 point functions by using this solution with Dirichlet and Neumann boundary conditions via AdS/CFT dictionary. We also consider marginal deformation on AdS boundary and get its on-shell and boundary effective actions.