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arXiv · hep-th/9907085

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

G. Arutyunov·S. Frolov
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Abstract

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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G. Arutyunov, S. Frolov. 1999-09-23. Some Cubic Couplings in Type IIB Supergravity on $AdS_5\times S^5$ and Three-point Functions in SYM_4 at Large N. https://doi.org/10.1103/physrevd.61.064009

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