Journal
NUCLEAR PHYSICS B
Volume 579, Issue 1-2, Pages 117-176Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0550-3213(00)00210-8
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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 equations of motion for type IIB supergravity on AdS(5) x S-5 It is shown that despite some expectations if one keeps the structure of the cubic terms untouched, the quartic action obtained contains terms with two and four derivatives. It is shown that the quartic action vanishes on shell in the extremal case, e.g., k(1) = k(2) + k(3) + k(4). Consistency of the truncation of the quartic 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 multiplet and one operator dual to a field from a massive multiplet. (C) 2000 Elsevier Science B.V. All rights reserved.
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