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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 180, Number 1, Pages 51–71
DOI: https://doi.org/10.4213/tmf8651 (Mi tmf8651) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Scalar products in models with the $GL(3)$ trigonometric $R$-matrix: General case

S. Z. Pakulyakabc, E. Ragoucyde, N. A. Slavnovf

a Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Oblast, Russia
b Institute of Theoretical and Experimental Physics, Moscow, Russia
c Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
d CNRS — Université de Savoie, Annecy-le-Vieux, France
e Laboratoire d'Annecy-le-Vieux de Physique Théorique
f Steklov Mathematical Institute, RAS, Moscow, Russia
Full-text PDF (624 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf8651
Abstract: We study quantum integrable models with the $GL(3)$ trigonometric $R$-matrix solvable by the nested algebraic Bethe ansatz and obtain an explicit representation for a scalar product of generic Bethe vectors in terms of a sum over partitions of Bethe parameters. This representation generalizes the known formula for scalar products in models with the $GL(3)$-invariant $R$-matrix.
Keywords: nested Bethe ansatz, Bethe vector, scalar products.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00474
13-01-12405-офи_м
14-01-00860_а
National Research University Higher School of Economics
Agence Nationale de la Recherche 2010-BLAN-0120-02
Russian Academy of Sciences - Federal Agency for Scientific Organizations П-19
Received: 12.02.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 180, Issue 1, Pages 795–814
DOI: https://doi.org/10.1007/s11232-014-0180-z
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. Z. Pakulyak, E. Ragoucy, N. A. Slavnov, “Scalar products in models with the $GL(3)$ trigonometric $R$-matrix: General case”, TMF, 180:1 (2014), 51–71; Theoret. and Math. Phys., 180:1 (2014), 795–814
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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