Recurrence relations for off-shell Bethe vectors in trigonometric integrable models-Reference-Cited by-同舟云学术

Recurrence relations for off-shell Bethe vectors in trigonometric integrable models

Published:2022-01-25 Issue:7 Volume:55 Page:075201
ISSN:1751-8113
Container-title:Journal of Physics A: Mathematical and Theoretical
language:
Short-container-title:J. Phys. A: Math. Theor.

Author:

Liashyk A^ORCID,Pakuliak S Z^ORCID

Abstract

Abstract The zero modes method is applied in order to get the action of the monodromy matrix entries on off-shell Bethe vectors in quantum integrable models associated with

U q ( g l N )

-invariant R-matrices. The action formulas allow to get recurrence relations for off-shell Bethe vectors and for highest coefficients of the Bethe vectors scalar product.

Funder

Russian Foundation for Basic Research

Publisher

IOP Publishing

Subject

General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://iopscience.iop.org/article/10.1088/1751-8121/ac491b/pdf

Reference23 articles.

1. How algebraic Bethe ansatz works for integrable model;Faddeev,1998

2. Quantum groups;Drinfeld;J. Soviet Math.,1988

3. Central extension of quantum groups;Reshetikhin;Lett. Math. Phys.,1990

4. Actions of the monodromy matrix elements onto gl(m|n) -invariant Bethe vectors;Hutsalyuk;J. Stat. Mech.,2020

5. Scalar products of Bethe vectors in models with gl(2|1) symmetry 1. Super-analog of Reshetikhin formula;Hutsalyuk;J. Phys. A: Math. Theor.,2016

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