# Four-Point Functions with a Twist

## TL;DR

This paper investigates the operator product expansion of four-point functions in twisted N=4 super Yang-Mills theory, revealing how twisting affects spacetime dependence and the dominance of magnon states in the OPE limit.

## Contribution

It introduces a novel analysis of twisted operators' OPE in planar N=4 SYM, focusing on extremal states and their role in canceling double-trace contributions.

## Key findings

- OPE dominated by few-magnon states
- Twisting couples spacetime dependence to magnons
- Identification of extremal states for double-trace cancellation

## Abstract

We study the OPE of correlation functions of local operators in planar N=4 super Yang-Mills theory. The considered operators have an explicit spacetime dependence that is defined by twisting the translation generators with certain R-symmetry generators. We restrict to operators that carry a small number of excitations above the twisted BMN vacuum. The OPE limit of the four-point correlator is dominated by internal states with few magnons on top of the vacuum. The twisting directly couples all spacetime dependence of the correlator to these magnons. We analyze the OPE in detail, and single out the extremal states that have to cancel all double-trace contributions.