Boundary quantum group generators of type A

Rafael I. Nepomechie

doi:10.1023/A:1021666606803

Boundary quantum group generators of type A

Rafael I. Nepomechie

Physics

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

27 Scopus citations

Abstract

We construct boundary quantum group generators which, through linear intertwining relations, determine nondiagonal solutions of the boundary Yang-Baxter equation for vector representations of A⁽¹⁾_n-1 and A⁽²⁾₂.

Original language	English (US)
Pages (from-to)	83-89
Number of pages	7
Journal	Letters in Mathematical Physics
Volume	62
Issue number	2
DOIs	https://doi.org/10.1023/A:1021666606803
State	Published - Nov 2002

Keywords

Boundary Yang-Baxter equation
Boundary affine Toda field theory
K matrix
Quantum group
R matrix
Reflection equation

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Boundary quantum group generators of type A",

abstract = "We construct boundary quantum group generators which, through linear intertwining relations, determine nondiagonal solutions of the boundary Yang-Baxter equation for vector representations of A(1)n-1 and A(2)2.",

keywords = "Boundary Yang-Baxter equation, Boundary affine Toda field theory, K matrix, Quantum group, R matrix, Reflection equation",

author = "Nepomechie, {Rafael I.}",

note = "Funding Information: I am grateful to Y. Yamada for sending me a copy of his preprint. This work was supported in part by the National Science Foundation under Grants PHY-9870101 and PHY-0098088.",

year = "2002",

month = nov,

doi = "10.1023/A:1021666606803",

language = "English (US)",

volume = "62",

pages = "83--89",

journal = "Letters in Mathematical Physics",

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AU - Nepomechie, Rafael I.

N1 - Funding Information: I am grateful to Y. Yamada for sending me a copy of his preprint. This work was supported in part by the National Science Foundation under Grants PHY-9870101 and PHY-0098088.

PY - 2002/11

Y1 - 2002/11

N2 - We construct boundary quantum group generators which, through linear intertwining relations, determine nondiagonal solutions of the boundary Yang-Baxter equation for vector representations of A(1)n-1 and A(2)2.

AB - We construct boundary quantum group generators which, through linear intertwining relations, determine nondiagonal solutions of the boundary Yang-Baxter equation for vector representations of A(1)n-1 and A(2)2.

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KW - Boundary affine Toda field theory

KW - K matrix

KW - Quantum group

KW - R matrix

KW - Reflection equation

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