Generating Series for Nested Bethe Vectors

Домашня сторінка
→
Фізико-технічні та математичні науки
→
Відділення математики
→
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
→
Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
→
Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4, випуск за цей рік
→
Переглянути статтю

dc.contributor.author	Khoroshkin, S.
dc.contributor.author	Pakuliak, S.
dc.date.accessioned	2019-02-19T12:54:36Z
dc.date.available	2019-02-19T12:54:36Z
dc.date.issued	2008
dc.identifier.citation	Generating Series for Nested Bethe Vectors / S. Khoroshkin, S. Pakuliak // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 18 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 17B37; 81R50
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149005
dc.description.abstract	We reformulate nested relations between off-shell Uq(^glN) Bethe vectors as a certain equation on generating series of strings of the composed Uq(^glN) currents. Using inversion of the generating series we find a new type of hierarchical relations between universal off-shell Bethe vectors, useful for a derivation of Bethe equation. As an example of application, we use these relations for a derivation of analytical Bethe ansatz equations [Arnaudon D. et al., Ann. Henri Poincaré 7 (2006), 1217-1268, math-ph/0512037] for the parameters of universal Bethe vectors of the algebra Uq(^gl2).	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications. The main idea to use generating series for the description of the hierarchical Bethe ansatz appeared during authors visit to Max-Planck Institute f¨ur Mathematik, Bonn, in January, 2008. Authors acknowledge this scientific center for the hospitality and stimulating scientific atmosphere.This work was partially done when the second author (S.P.) visited Laboratoire d’Annecy-LeVieux de Physique Th´eorique in 2006 and 2007. These visits were possible due to the financial support of the CNRS-Russia exchange program on mathematical physics. He thanks LAPTH for the hospitality and stimulating scientific atmosphere. Authors are grateful to Luc Frappat and Eric Ragoucy for many helpful discussions. The authors were supported in part by RFBR grant 08-01-00392 and grant for the support of scientific schools NSh-3036.2008.2. The first author was also supported by the Atomic Energy Agency of the Russian Federation, and by the ANR grant 05-BLAN-0029-01. The second author was also supported in part by RFBR-CNRS grant 07-02-92166-CNRS.	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	Generating Series for Nested Bethe Vectors	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA