The general crossing relation for boundary reflection matrix
Bo-yu Hou, Kang-jie Shi, Wen-li Yang
TL;DR
This paper extends the crossing relation for boundary reflection matrices, providing a method to determine scalar factors for solutions to the boundary Yang-Baxter equation in specific cases.
Contribution
It introduces a general crossing relation for boundary reflection matrices and applies it to find scalar factors in particular rational solutions.
Findings
Derived the general crossing relation for boundary reflection matrices.
Determined scalar factors for rational diagonal solutions in specific cases.
Extended previous work by Ghoshal and Zamolodchikov.
Abstract
In this paper, we give the general crossing relation for boundary reflection matrix , which is the extension of the work given by Ghoshal and Zamolodchikov .We also use the first non-trivial extended crossing relation to determine the scaler factor of which is the rational diagonal solution to the boundary Yang-Baxter equation in the case of l=2 and n=3.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Topics in Algebra · Algebraic structures and combinatorial models