Solutions of the Uq (ŜIN) reflection equations

Vidas Regelskis; Bart Vlaar

doi:10.1088/1751-8121/aad026

Solutions of the U_q (ŜI_N) reflection equations

Vidas Regelskis
, Bart Vlaar

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We find the complete set of invertible solutions of the untwisted and twisted reflection equations for the Bazhanov-Jimbo R-matrix of type . We also show that all invertible solutions can be obtained by an appropriate affinization procedure from solutions of the constant untwisted and twisted reflection equations.

Original language	English
Article number	345204
Pages (from-to)	1-41
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	51
Issue number	34
DOIs	https://doi.org/10.1088/1751-8121/aad026
Publication status	Published - 17 Jul 2018

Keywords

K-matrix
R-matrix
reflection equation
YangBaxter equation

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10.1088/1751-8121/aad026Licence: Other

https://arxiv.org/abs/1803.06491

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title = "Solutions of the Uq (ŜIN) reflection equations",

abstract = "We find the complete set of invertible solutions of the untwisted and twisted reflection equations for the Bazhanov-Jimbo R-matrix of type . We also show that all invertible solutions can be obtained by an appropriate affinization procedure from solutions of the constant untwisted and twisted reflection equations.",

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AU - Vlaar, Bart

PY - 2018/7/17

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N2 - We find the complete set of invertible solutions of the untwisted and twisted reflection equations for the Bazhanov-Jimbo R-matrix of type . We also show that all invertible solutions can be obtained by an appropriate affinization procedure from solutions of the constant untwisted and twisted reflection equations.

AB - We find the complete set of invertible solutions of the untwisted and twisted reflection equations for the Bazhanov-Jimbo R-matrix of type . We also show that all invertible solutions can be obtained by an appropriate affinization procedure from solutions of the constant untwisted and twisted reflection equations.

KW - K-matrix

KW - R-matrix

KW - reflection equation

KW - YangBaxter equation

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U2 - 10.1088/1751-8121/aad026

DO - 10.1088/1751-8121/aad026

M3 - Article

AN - SCOPUS:85050565572

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M1 - 345204

ER -

Solutions of the U_q (ŜI_N) reflection equations

Abstract

Keywords

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