Chiral Integrable Boundary States of ABJM Spin Chain from Reflection Equations

TL;DR

This paper introduces a framework for constructing chiral integrable boundary states in the ABJM spin chain using reflection equations, providing exact overlap formulas and numerical analysis of subspaces.

Contribution

It presents a novel method for creating chiral integrable boundary states and derives exact overlap formulas, advancing the understanding of ABJM spin chain boundary conditions.

Findings

Constructed 2n-site chiral integrable matrix product states

Proposed exact overlap formulas for four-site states with Bethe states

Numerically investigated chiral integrable subspaces

Abstract

We develop a general framework for constructing $2n$-site chiral integrable matrix product states in Aharony-Bergman-Jafferis-Maldacena spin chain, based on reflection equations and the fusion procedure. For four-site chiral integrable product states, we propose their exact overlap formulas with Bethe states. We also investigate the chiral integrable subspaces numerically.