# Exact Three-Point Functions of Determinant Operators in Planar N=4 Supersymmetric Yang-Mills Theory

## TL;DR

This paper presents a nonperturbative method for calculating three-point correlation functions involving determinant and single-trace operators in planar N=4 SYM, utilizing integrability and gauge/string duality.

## Contribution

It introduces a novel approach based on boundary states and integrability to compute these correlators at finite coupling, extending previous methods.

## Key findings

- Derived expressions for correlators at finite coupling.
- Validated the approach at weak coupling.
- Connected gauge theory correlators with string worldsheet overlaps.

## Abstract

We introduce a nonperturbative approach to correlation functions of two determinant operators and one non-protected single-trace operator in planar N=4 supersymmetric Yang-Mills theory. Based on the gauge/string duality, we propose that they correspond to overlaps on the string worldsheet between an integrable boundary state and a state dual to the single-trace operator. We determine the boundary state using symmetry and integrability of the dual superstring sigma model, and write down expressions for the correlators at finite coupling, which we conjecture to be valid for operators of arbitrary size. The proposal is put to test at weak coupling.