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arXiv · 1411.6356

Boundary conditions for conformally coupled scalar in AdS$_4$

Jae-Hyuk Oh
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Abstract

We consider conformally coupled scalar with $ϕ^4$ 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 $ϕ^4$ coupling $λ$ up to $λ^2$ 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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Jae-Hyuk Oh. 2015-02-05. Boundary conditions for conformally coupled scalar in AdS$_4$. https://arxiv.org/abs/1411.6356

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