Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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dc.contributor.author	Crampe, N.
dc.date.accessioned	2019-02-19T19:41:21Z
dc.date.available	2019-02-19T19:41:21Z
dc.date.issued	2017
dc.identifier.citation	Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary / N. Crampe // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 44 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 81R12; 17B80; 37J35
dc.identifier.other	DOI:10.3842/SIGMA.2017.094
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149276
dc.description.abstract	We solve the XXZ Gaudin model with generic boundary using the modified algebraic Bethe ansatz. The diagonal and triangular cases have been recovered in this general framework. We show that the model for odd or even lengths has two different behaviors. The corresponding Bethe equations are computed for all the cases. For the chain with even length, inhomogeneous Bethe equations are necessary. The higher spin Gaudin models with generic boundary is also treated.	uk_UA
dc.description.sponsorship	I thank P. Baseilhac, S. Belliard and V. Caudrelier for their interest. This work has been done during the stay of the author at the “Laboratoire de Math´ematiques et Physique Th´eorique CNRS/UMR 7350, Universit´e de Tours”. I thank warmly the LMPT for hospitality.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA