Unitarity Method for Holographic Defects

TL;DR

This paper develops a unitarity-based method to compute loop corrections in holographic correlators with defects, demonstrated on 6d theories with BPS surface defects, providing new insights into defect holography.

Contribution

It introduces a unitarity method for loop-level holographic correlators with defects, applied to 6d theories, and reports the first one-loop two-point function in this context.

Findings

Constructed loop corrections from lower order data

Applied method to 6d $ ext{(2,0)}$ theories with surface defects

First holographic one-loop two-point function reported

Abstract

We initiate the study of loop-level holographic correlators in the presence of defects. We present a unitarity method which constructs loop corrections from lower order data. As an example, we apply this method to 6d $\mathcal{N}=(2,0)$ theories with $\frac{1}{2}$-BPS surface defects and report the first holographic two-point function at one loop.