General boundary conditions for the sl(N) and sl(M|N) open spin chains

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

hal-00001684, version 3

General boundary conditions for the sl(N) and sl(M|N) open spin chains

Daniel Arnaudon () ¹, Jean Avan ², Nicolas Crampé ¹, Anastasia Doikou ¹, Luc Frappat ¹, Eric Ragoucy ¹

J. Stat. Mech.: Theor. Exp. (JSTAT) 08 (2004) P005

Abstract: Two types of boundary conditions ("soliton preserving" and "soliton non-preserving") are investigated for the sl(n) and sl(m|n) open spin chains. The appropriate reflection equations are formulated and the corresponding solutions are classified. The symmetry and the Bethe Ansatz equations are derived for each case. The general treatment for non-diagonal reflection matrices associated to "soliton preserving" case is worked out. The connection between the "soliton non-preserving" boundary conditions and the twisted (super) Yangians is also discussed.

1: Laboratoire d'Annecy-le-Vieux de Physique Théorique (LAPTH)
CNRS : UMR5108 – Université de Savoie
2: Laboratoire de Physique Théorique et Modélisation (LPTM)
CNRS : UMR8089 – Université de Cergy Pontoise

hal-00001684, version 3
http://hal.archives-ouvertes.fr/hal-00001684
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From: Eric Ragoucy <>
Submitted on: Friday, 22 October 2004 15:47:37
Updated on: Friday, 22 October 2004 15:58:50

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arXiv: math-ph/0406021

DOI: 10.1088/1742-5468/2004/08/P08005

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