Path description for q-characters of Kirillov–Reshetikhin modules with length 2 in type D

In this paper, we continue to study a path description for [Formula: see text]-characters of finite-dimensional representations over the quantum affine algebra of type [Formula: see text] by using the method developed in [J. Tong, B. Duan and Y. F. Luo, A combinatorial model for [Formula: see text]-characters of fundamental modules of type [Formula: see text], Comm. Algebra 53(2) (2025) 467–488]. We give an explicit combinatorial formula for Kirillov–Reshetikhin modules with length two.