Integrable matrix product state of ABJM theory from projecting method

TL;DR

This paper explores the construction of integrable boundary states in ABJM theory by identifying conditions for matrix product states and developing new classes of such states using projected K-matrices.

Contribution

It introduces an integrability condition for two-site MPS in ABJM theory and constructs new non-trivial MPS classes via projected K-matrices.

Findings

Derived an integrability condition similar to the KT-relation.

Constructed new classes of non-trivial MPSs from projected K-matrices.

Enhanced understanding of boundary states in ABJM theory.

Abstract

In this paper we investigate the integrable boundary state in ABJM theory. We find an integrability condition for the two-site integrable matrix product state (MPS) similar to the KT-relation. We also construct a class of non-trivial MPSs from the projected K-matrices.