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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 197, Number 3, Pages 435–443
DOI: https://doi.org/10.4213/tmf9623 (Mi tmf9623) 		 
Determinant representations for scalar products in the algebraic Bethe ansatz

N. A. Slavnov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf9623
Abstract: We study integrable models with $\mathfrak{gl}(2|1)$ symmetry that are solvable by the nested algebraic Bethe ansatz. We obtain a new determinant representation for scalar products of twisted and ordinary on-shell Bethe vectors. The obtained representation leads to a new formula for the scalar products in models with $\mathfrak{gl}(2)$ symmetry.
Keywords: algebraic Bethe ansatz, scalar product, graded model.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This research is supported by a grant from the Russian Science Foundation (Project No. 14-50-00005).
Received: 23.08.2018
English version:
Theoretical and Mathematical Physics, 2018, Volume 197, Issue 3, Pages 1771–1778
DOI: https://doi.org/10.1134/S0040577918120073
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. A. Slavnov, “Determinant representations for scalar products in the algebraic Bethe ansatz”, TMF, 197:3 (2018), 435–443; Theoret. and Math. Phys., 197:3 (2018), 1771–1778
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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