Some cubic couplings in type IIB supergravity on AdS(5) x S(5) and three-point functions in SYM(4) at large N

Abstract

All cubic couplings in type IIB supergravity on AdS53S5 that involve two scalar fields sI that are mixtures of the five form field strength on S5 and the trace of the graviton on S5 are derived by using the covariant equations of motion and the quadratic action for type IIB supergravity on AdS53S5. All corresponding three-point functions in SYM4 are calculated in the supergravity approximation. It is pointed out that the scalars sI correspond not to the chiral primary operators in the N54 SYM but rather to a proper extension of the operators.