# Integrable Open Spin Chains from Flavored ABJM Theory

## TL;DR

This paper demonstrates the integrability of the scalar sector in planar flavored ABJM theory at two loops by computing anomalous dimensions and confirming boundary Yang-Baxter equations.

## Contribution

It provides the first two-loop analysis confirming integrability in the flavored ABJM theory's scalar sector through explicit calculations.

## Key findings

- Two-loop anomalous dimension matrix computed.
- Reflection matrix obtained via coordinate Bethe ansatz.
- Boundary Yang-Baxter equations satisfied, confirming integrability.

## Abstract

We compute the two-loop anomalous dimension matrix in the scalar sector of planar ${\cal N}=3$ flavored ABJM theory. Using coordinate Bethe ansatz, we obtain the reflection matrix and confirm that the boundary Yang-Baxter equations are satisfied. This establishes the integrability of this theory in the scalar sector at the two-loop order.