Open Spin Chains from Determinant Like Operators in ABJM Theory

TL;DR

This paper investigates the integrability of open spin chains derived from determinant-like operators in ABJM theory, revealing their connection to open strings attached to giant gravitons and providing evidence of integrability via Bethe ansatz and boundary Yang-Baxter equations.

Contribution

It introduces a novel analysis of determinant-like operators in ABJM theory and demonstrates their associated open spin chain's integrability using coordinate Bethe ansatz.

Findings

Evidence of integrability of the open spin chain

Connection between operators and open strings on D4-branes

Validation via boundary Yang-Baxter equation

Abstract

We study the mixing problem of the determinant like operators in ABJM theory to two loop order in the scalar sector. The gravity duals of these operators are open strings attached to the maximal giant graviton, which is a D4-brane wrapping a $\mathbb{CP}^2$ inside $\mathbb{CP}^3$ in our case. The anomalous dimension matrix of these operators can be regarded as an open spin chain Hamiltonian. We provide strong evidence of its integrability based on coordinate Bethe ansatz method and boundary Yang-Baxter equation.