Holographic three-point functions of semiclassical states

TL;DR

This paper computes holographic three-point functions in N=4 super-Yang-Mills theory involving semiclassical and supergravity operators, exploring the transition to fully semiclassical regimes.

Contribution

It introduces a method to calculate three-point functions with mixed semiclassical and supergravity operators and analyzes the transition to fully semiclassical states.

Findings

Derived explicit three-point function formulas for mixed semiclassical and supergravity operators.

Explored the regime where all three operators are semiclassical.

Provided insights into the transition between different semiclassical regimes.

Abstract

We calculate the holographic three-point functions in N = 4 super-Yang-Mills theory in the case when two of the operators are semiclassical and one is dual to a supergravity mode. We further discuss the transition to the regime when all three operators are semiclassical.