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arXiv · 2410.21654

Boundary transfer matrices arising from quantum symmetric pairs

Andrea Appel·Bart Vlaar
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Abstract

We introduce a universal framework for boundary transfer matrices, inspired by Sklyanin's two-row transfer matrix approach for quantum integrable systems with boundary conditions. The main examples arise from quantum symmetric pairs of finite and affine type. As a special case we recover a construction by Kolb in finite type. We review recent work on universal solutions to the reflection equation and highlight several open problems in this field.

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BibTeXRIS

Andrea Appel, Bart Vlaar. 2024-10-29. Boundary transfer matrices arising from quantum symmetric pairs. https://doi.org/10.1016/j.indag.2025.05.008

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