Beyond the tree level in the AdS/CFT Correspondence

TL;DR

This paper investigates quantum corrections in a scalar field theory on AdS space, demonstrating that one-loop effects preserve the conformal invariance of the boundary theory as predicted by AdS/CFT correspondence.

Contribution

It provides explicit calculations of one-loop quantum corrections in a massive phi^4 model on AdS, confirming the preservation of boundary conformal invariance.

Findings

One-loop corrections preserve conformal invariance.

Quantum effects do not break boundary symmetry.

Supports the AdS/CFT conjecture at quantum level.

Abstract

The loop expansion of the effective action is used to evaluate quantum corrections to a scalar field theory (massive phi^4 model) on AdS. We evaluate one loop corrections and show that they preserve conformal invariance of the boundary theory as conjectured by AdS/CFT correspondence.