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

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

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 bou...

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Veröffentlicht in:Nuclear physics. B 2003-09, Vol.668 (3), p.469-505
Hauptverfasser: Arnaudon, D., Avan, J., Crampé, N., Doikou, A., Frappat, L., Ragoucy, E.
Format: Artikel
Sprache:eng
Schlagworte:
High Energy Physics - Theory
Mathematical Physics
Mathematics
Physics
Quantum Algebra
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Zusammenfassung: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.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(03)00503-0