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arxiv: 1411.6356 · v2 · pith:I7K6KQMNnew · submitted 2014-11-24 · ✦ hep-th

Boundary conditions for conformally coupled scalar in AdS₄

classification ✦ hep-th
keywords boundaryconditionsconformallycoupledorderscalarconsidercoupling
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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.

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