Component twist method for higher twists in D1-D5 CFT

The deformation operator of the D1-D5 orbifold CFT, a twist-2 operator, drives the CFT towards the black hole dual, and its physics is key to understanding thermalization in the D1-D5 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.