Bootstrapping the effect of the twist operator in the D1D5 CFT

TL;DR

This paper applies a novel method based on the Bogoliubov ansatz and superconformal symmetry to compute the effect of the twist operator in the D1D5 CFT, potentially improving the calculation of correlation functions.

Contribution

It extends a recent toy model approach using superconformal symmetry to the D1D5 CFT for more efficient twist operator computations.

Findings

Successfully computed the twist operator effect in D1D5 CFT

Demonstrated the method's potential for calculating correlation functions

Provides a new computational tool for superconformal systems

Abstract

In the D1D5 CFT the twist operator of order 2 can twist together two copies in the untwisted sector into a single joined copy in the twisted sector. Traditionally, this effect is computed by using the covering map method. Recently, a new method was developed using the Bogoliubov ansatz and conformal symmetry to compute this effect in a toy model of one free boson. In this paper, we use this method with superconformal symmetry to compute the effect of the twist operator in the D1D5 CFT. This may provide more effective tools for computing correlation functions of twist operators in this system.