Speaker
Description
We use the supergravity technique to compute heavy-heavy-light-light (HHLL) four-point correlation functions of operators in 4D N=4 Super Yang-Mills (SYM) theory. We compute the two-point function of light probe operators in the background of Lin-Lunin-Maldacena (LLM) geometries dual to heavy operators, thus avoiding the use of Witten diagrams. By taking a limit of the HHLL correlators, we also obtain all-light LLLL four-point correlators.
In particular, we consider LLM geometries generated by profiles which are ripple deformations of a circle. These are dual to coherent superpositions of chiral primary operators of N=4 SYM. For the light probe, we use the dilaton field, which is dual to a descendant of a chiral primary.
We perform the analysis of the correlators both in position space and in Mellin space, and use a Ward identity to compare them with known results for all-light four-point correlators of chiral primaries.
