Scalar Quartic Effective Action on $AdS_5$

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We review the recent results concerning the computation of cubic and quartic couplings of scalar fields in type IIB supergravity on AdS_5\times S^5 background that are dual to (extended) chiral primary operators in N=4 SYM_4. We discuss the vanishing of certain cubic and quartic couplings and non-renormalization property of corresponding correlators in the conformal field theory
6 pages, Latex, JHEP style; based on the talk by G. Arutyunov at the TMR Meeting "Quantum Aspects of Gauge Theories, Supersymmetry and Unification" held in Paris, September 1999

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