Classification of reflection matrices related to (super-) Yangians and application to open spin chain models

Daniel Arnaudon; Jean Avan; Nicolas Crampé; Anastasia Doikou; Luc Frappat; E. Ragoucy

doi:10.1016/S0550-3213(03)00503-0

Classification of reflection matrices related to (super-) Yangians and application to open spin chain models

Daniel Arnaudon, Jean Avan, Nicolas Crampé, Anastasia Doikou, Luc Frappat, E. Ragoucy

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

29 Citations (Scopus)

Abstract

We present a classification of diagonal, antidiagonal and mixed reflection matrices related to Yangian and super-Yangian R matrices associated to the infinite series so(m), sp(n) and osp(m|n). We formulate the analytical Bethe Ansatz resolution for the so(m) and sp(n) open spin chains with boundary conditions described by the diagonal solutions.

Original language	English
Pages (from-to)	469–505
Number of pages	37
Journal	Nuclear Physics B
Volume	668
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(03)00503-0
Publication status	Published - 29 Sept 2003

Keywords

math.QA
hep-th
math-ph
math.MP
81R50; 17B37

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10.1016/S0550-3213(03)00503-0

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abstract = "We present a classification of diagonal, antidiagonal and mixed reflection matrices related to Yangian and super-Yangian R matrices associated to the infinite series so(m), sp(n) and osp(m|n). We formulate the analytical Bethe Ansatz resolution for the so(m) and sp(n) open spin chains with boundary conditions described by the diagonal solutions.",

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T1 - Classification of reflection matrices related to (super-) Yangians and application to open spin chain models

AU - Arnaudon, Daniel

AU - Avan, Jean

AU - Crampé, Nicolas

AU - Doikou, Anastasia

AU - Frappat, Luc

AU - Ragoucy, E.

N1 - 36 pages ; references added ; typos corrected, precisions added

PY - 2003/9/29

Y1 - 2003/9/29

N2 - We present a classification of diagonal, antidiagonal and mixed reflection matrices related to Yangian and super-Yangian R matrices associated to the infinite series so(m), sp(n) and osp(m|n). We formulate the analytical Bethe Ansatz resolution for the so(m) and sp(n) open spin chains with boundary conditions described by the diagonal solutions.

AB - We present a classification of diagonal, antidiagonal and mixed reflection matrices related to Yangian and super-Yangian R matrices associated to the infinite series so(m), sp(n) and osp(m|n). We formulate the analytical Bethe Ansatz resolution for the so(m) and sp(n) open spin chains with boundary conditions described by the diagonal solutions.

KW - math.QA

KW - hep-th

KW - math-ph

KW - math.MP

KW - 81R50; 17B37

U2 - 10.1016/S0550-3213(03)00503-0

DO - 10.1016/S0550-3213(03)00503-0

M3 - Article

SN - 0550-3213

VL - 668

SP - 469

EP - 505

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

Classification of reflection matrices related to (super-) Yangians and application to open spin chain models

Abstract

Keywords

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