Some Cubic Couplings in Type IIB Supergravity on $AdS_5\times S^5$ and Three-point Functions in SYM_4 at Large N

Details Some Cubic Couplings in Type IIB Supergravity on $AdS_5\times S^5$ and Three-point Functions in SYM_4 at Large N Some Cubic Couplings in Type IIB Supergravity on $AdS_5\times S^5$ and Three-point Functions in SYM_4 at Large N

1999-07-12

arxiv.org/abs/hep-th/9907085v2

Phys.Rev. D61 (2000) 064009

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 24p, misprints are corrected

Scientific paper

10.1103/PhysRevD.61.064009

All cubic couplings in type IIB supergravity on $AdS_5\times S^5$ that involve two scalar fields $s^I$ that are mixtures of the five form field strength on $S^5$ and the trace of the graviton on $S^5$ are derived by using the covariant equations of motion and the quadratic action for type IIB supergravity on $AdS_5\times S^5$. All corresponding three-point functions in SYM$_4$ are calculated in the supergravity approximation. It is pointed out that the scalars $s^I$ correspond not to the chiral primary operators in the ${\cal N}=4$ SYM but rather to a proper extension of the operators.

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