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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 063, 20 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.063 (Mi sigma1044) 		 
This article is cited in 19 scientific papers (total in 19 papers)

${\rm GL}(3)$-Based Quantum Integrable Composite Models. I. Bethe Vectors

Stanislav Pakuliakabc, Eric Ragoucyd, Nikita A. Slavnove

a Institute of Theoretical & Experimental Physics, 117259 Moscow, Russia
b Moscow Institute of Physics and Technology, 141700, Dolgoprudny, Moscow reg., Russia
c Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow reg., Russia
d Laboratoire de Physique Théorique LAPTH, CNRS and Université de Savoie, BP 110, 74941 Annecy-le-Vieux Cedex, France
e Steklov Mathematical Institute, Moscow, Russia
Full-text PDF (439 kB) Citations (19)
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DOI: https://doi.org/10.3842/SIGMA.2015.063
Abstract: We consider a composite generalized quantum integrable model solvable by the nested algebraic Bethe ansatz. Using explicit formulas of the action of the monodromy matrix elements onto Bethe vectors in the ${\rm GL}(3)$-based quantum integrable models we prove a formula for the Bethe vectors of composite model. We show that this representation is a particular case of general coproduct property of the weight functions (Bethe vectors) found in the theory of the deformed Knizhnik–Zamolodchikov equation.
Keywords: Bethe ansatz; quantum affine algebras, composite models.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-90405-ukr-a
15-31-20484-mol_a_ved
Russian Academy of Sciences - Federal Agency for Scientific Organizations
The work of S.P. was supported in part by RFBR-Ukraine grant 14-01-90405-ukr-a. N.A.S. was supported by the Program of RAS "Nonlinear Dynamics in Mathematics and Physics" and by the grant RFBR-15-31-20484-mol_a_ved.
Received: February 18, 2015; in final form July 22, 2015; Published online July 31, 2015
Bibliographic databases:
Document Type: Article
MSC: 17B37; 81R50
Language: English
Citation: Stanislav Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “${\rm GL}(3)$-Based Quantum Integrable Composite Models. I. Bethe Vectors”, SIGMA, 11 (2015), 063, 20 pp.
Citation in format AMSBIB
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