# Component twist method for higher twists in D1D5 CFT

## TL;DR

This paper introduces a component twist method for constructing higher twist operators in the D1D5 CFT, enabling analysis of complex twist configurations without lifting to the covering space, and confirms its effectiveness through verification and new computations.

## Contribution

The paper develops a novel component twist method for higher twists in the D1D5 CFT, extending previous techniques and confirming a conjectured scaling law in the continuum limit.

## Key findings

- Method reproduces known results with Lunin-Mathur technology.
- Validates a scaling law for generic twist configurations.
- Demonstrates the method with a new three-copy twist configuration.

## Abstract

The deformation operator of the D1D5 orbifold CFT, a twist 2 operator, drives the CFT towards the black hole dual and its physics is key to understanding thermalization in the D1D5 system. To further study this deformation, we extend previous work on the effect of twist 2 operators to a method that works for higher orders, in the continuum limit. Our component twist method works by building higher twist operators out of twist 2 operators together with knowledge of Bogoliubov transformations. Consequently, this method sidesteps limitations in Lunin-Mathur technology by avoiding lifts to the covering space. We verify the method by reproducing results obtainable with Lunin-Mathur technology. Going further, our method upholds a previously conjectured scaling law in the continuum limit that applies to any generic configuration of twists. We illustrate this with computations for a new configuration of two twist 2 operators that twists three copies together.