Chiral Integrable Boundary States of ABJM Spin Chain from Reflection Equations

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.

v3, one footnote added, 34 pages, 13 figures, 1 table