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TMF, 2020, Volume 204, Number 3, Pages 453–465 (Mi tmf9884)  

Generating function for scalar products in the algebraic Bethe ansatz

N. A. Slavnov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: We construct a family of determinant representations for scalar products of Bethe vectors in models with $\mathfrak{gl}(3)$ symmetry. This family is defined by a single generating function containing arbitrary complex parameters but is independent of their specific values. Choosing these parameters in different ways, we can obtain different determinant representations.

Keywords: scalar product, generating function, determinant.

Funding Agency Grant Number
Russian Foundation for Basic Research 18-01-00273_a
This research was supported by the Russian Foundation for Basic Research (Grant No. 18-01-00273_a).


DOI: https://doi.org/10.4213/tmf9884

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English version:
Theoretical and Mathematical Physics, 2020, 204:3, 1216–1226

Bibliographic databases:

Received: 22.01.2020
Revised: 22.01.2020

Citation: N. A. Slavnov, “Generating function for scalar products in the algebraic Bethe ansatz”, TMF, 204:3 (2020), 453–465; Theoret. and Math. Phys., 204:3 (2020), 1216–1226

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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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