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TMF, 2021, Volume 209, Number 1, Pages 82–100 (Mi tmf10136)  

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

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.

* Author to whom correspondence should be addressed

DOI: https://doi.org/10.4213/tmf10136

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English version:
Theoretical and Mathematical Physics, 2021, 209:1, 1387–1402

Bibliographic databases:

Received: 13.06.2021
Revised: 13.06.2021

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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\by S.~Belliard, N.~A.~Slavnov
\paper Overlap between usual and modified Bethe vectors
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\vol 209
\issue 1
\pages 82--100
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\crossref{https://doi.org/10.4213/tmf10136}
\transl
\jour Theoret. and Math. Phys.
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\vol 209
\issue 1
\pages 1387--1402
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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