Scalar quartic couplings in type IIB supergravity on ADS(5) x S-5

All quartic couplings of scalar fields sl that are dual to extended chiral primary operators in N = 4 SYM4 are derived by using the covariant equation s of motion for type IIB supergravity on AdS(5) x S-5 It is shown that desp ite some expectations if one keeps the structure of the cubic terms untouch ed, the quartic action obtained contains terms with two and four derivative s. It is shown that the quartic action vanishes on shell in the extremal ca se, e.g., k(1) = k(2) + k(3) + k(4). Consistency of the truncation of the q uartic couplings to the massless multiplet of the N = 8, d = 5 supergravity is proven and the explicit values of the couplings are found. It is argued that the consistency of the KK reduction implies non-renormalization of n- point functions of n - 1 operators dual to the fields from the massless mul tiplet and one operator dual to a field from a massive multiplet. (C) 2000 Elsevier Science B.V. All rights reserved.