Chiral algebra correlators of the $6$d, $\mathcal{N}=(2,0)$ theory with a defect

TL;DR

This paper computes 2-point functions of BPS operators in the 6d (2,0) theory with a defect, using bootstrap methods to fully determine correlators from bulk data and predict defect channel operator expansions.

Contribution

It introduces a bootstrap approach to determine defect correlators solely from bulk data in the 6d (2,0) theory, providing new predictions for the defect operator expansion.

Findings

Successfully reproduces correlators using bulk-channel data.

Provides new predictions for defect operator expansion.

Demonstrates the power of bootstrap in defect CFTs.

Abstract

We revisit the computation of $2$-point correlation functions of $\tfrac{1}{2}$-BPS operators in the $6$d, $\mathcal{N}=(2,0)$ theory in the presence of a surface defect. We focus on the protected sector described by the chiral algebra and reproduce its correlators using a bootstrap approach. A unique feature of this calculation is that we can completely determine the answer by using bulk-channel data only. We, also, perform the operator expansion in the defect channel which provide new predictions for the theory.