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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 209, Number 1, Pages 82–100
DOI: https://doi.org/10.4213/tmf10136 (Mi tmf10136) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Overlap between usual and modified Bethe vectors

S. Belliarda, N. A. Slavnovb

a Institut Denis-Poisson, Université de Tours, Université d’Orléans, Tours, France
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (488 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf10136
Abstract: We consider the overlap of Bethe vectors of the $XXX$ spin chain with a diagonal twist and the modified Bethe vectors with a general twist. We find a determinant representation for this overlap under one additional condition on the twist parameters. Such objects arise in the calculations of nonequilibrium physics.
Keywords: modified algebraic Bethe ansatz, scalar product, twisted boundary condition.
Funding agency Grant number
Russian Science Foundation 19-11-00062
The work was performed at the Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow. This work is supported by the Russian Science Foundation under grant 19-11-00062.
Received: 13.06.2021
Revised: 13.06.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 209, Issue 1, Pages 1387–1402
DOI: https://doi.org/10.1134/S0040577921100056
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. Belliard, N. A. Slavnov, “Overlap between usual and modified Bethe vectors”, TMF, 209:1 (2021), 82–100; Theoret. and Math. Phys., 209:1 (2021), 1387–1402
Citation in format AMSBIB
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    • This publication is cited in the following 2 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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