Bootstrapping the effect of the twist operator in symmetric orbifold CFTs

TL;DR

This paper develops a new method using the Bogoliubov ansatz and conformal symmetry to efficiently compute the effects of twist operators in symmetric orbifold CFTs, enhancing the calculation of correlation functions.

Contribution

It introduces a novel approach for calculating the impact of twist operators in symmetric orbifold CFTs, improving computational efficiency.

Findings

New method using Bogoliubov ansatz for twist operators

More efficient computation of correlation functions

Applicable to states with arbitrary quanta in the untwisted sector

Abstract

We study the 2D symmetric orbifold CFT of two copies of free bosons. The twist operator can join the two separated copies in the untwisted sector into a joined copy in the twisted sector. Starting with a state with any number of quanta in the untwisted sector, the state in the twisted sector obtained by the action of the twist operator can be computed by using the covering map method. We develop a new method to compute the effect of a twist operator by using the Bogoliubov ansatz and conformal symmetry. This may lead to more efficient tools to compute correlation functions involving twist operators.