Non-diagonal solutions of the reflection equation for the trigonometricA(1)n−1vertex model | Zendy

WenLi Yang | Zendy; Yao-Zhong Zhang | Zendy

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Non-diagonal solutions of the reflection equation for the trigonometricA⁽¹⁾_n−1vertex model

Author(s) -

WenLi Yang,

Yao-Zhong Zhang

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/12/019

Subject(s) - trigonometry , diagonal , mathematics , reflection (computer programming) , inverse , vertex (graph theory) , mathematical analysis , boundary value problem , boundary (topology) , matrix (chemical analysis) , integer (computer science) , combinatorics , class (philosophy) , mathematical physics , pure mathematics , graph , geometry , materials science , computer science , composite material , programming language , artificial intelligence

We obtain a class of non-diagonal solutions of the reflection equation forthe trigonometric $A^{(1)}_{n-1}$ vertex model. The solutions can be expressedin terms of intertwinner matrix and its inverse, which intertwine twotrigonometric R-matrices. In addition to a {\it discrete} (positive integer)parameter $l$, $1\leq l\leq n$, the solution contains $n+2$ {\it continuous}boundary parameters.Comment: Latex file, 14 pages; V2, minor typos corrected and a reference adde

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