# Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation

## TL;DR

This paper explores the relationship between Wilson lines and superconformal defects in ABJM theory, providing a formula for emitted radiation and confirming a proposal for calculating the Bremsstrahlung function via supersymmetric Wilson loops.

## Contribution

It introduces a method to compute the Bremsstrahlung function from two-point correlators of operator insertions in ABJM Wilson loops, linking defect theory and localization techniques.

## Key findings

- Confirmed the formula for emitted radiation from Wilson lines in ABJM theory.
- Performed an explicit two-loop calculation of correlators.
- Elucidated the structure of protected multiplets in superconformal defect theory.

## Abstract

We study operator insertions into 1/2 BPS Wilson loops in N = 6 ABJM theory and investigate their two-point correlators. In this framework, the energy emitted by a heavy moving probe can be exactly obtained from some two-point coefficients of bosonic and fermionic insertions. This allows us to confirm an early proposal for computing the Bremsstrahlung function in terms of certain supersymmetric circular Wilson loops, whose value might be accessible to localization techniques. In the derivation of this result we also elucidate the structure of protected multiplets in the relevant superconformal defect theory and perform an explicit two-loop calculation.