SCIENCE CHINA Physics, Mechanics & Astronomy, 69, 231011 (2026)

Chiral Integrable Boundary States in the SU(4) Alternating Spin Chain

Yang Liu¹ and Jun-Bao Wu^{1, 2}

1 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yaguan Road, Tianjin 300350, P. R. China.

2 Peng Huanwu Center for Fundamental Theory, 1 Xuefu Avenue, Xi'an, 710127, P. R. China.

* junbao.wu@tju.edu.cn

Abstract

Previously identified integrable boundary states in ABJM theory are exclusively achiral. This paper presents the first chiral integrable boundary states in the SU(4) alternating spin chain from the planar two-loop dilatation operator in the scalar sector. Utilizing a sufficient condition for the untwisted integrable condition, we identify specific two-site and four-site basis boundary states as chiral integrable states. Numerical evidence indicates that other basis states are unlikely to be chiral integrable. Furthermore, we compute the overlaps between these chiral integrable basis states and on-shell Bethe eigenstates.