Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1911.05460 · Physics of Particles and Nuclei Letters

Nested Bethe Ansatz for RTT-Algebra of Uq(sp(4)) Type

Č. Burdík, Ondřej Navrátil

Published Sep 1, 2020• 0 citations
arXivHTMLPDF

Abstract

Abstract We study the highest weight representations of the RTT-algebras for the R-matrix of $$\mathop {{\text{sp}}}\nolimits_q (4)$$ type by the nested algebraic Bethe ansatz. It is a generalization of our study for R-matrix of $${\text{sp}}(4)$$ .

DOI
10.1134/s1547477120050076

Related papers

Nested Bethe Ansatz for the RTT Algebra of sp(4) Type

Č. Burdík, Ondřej Navrátil

We show how to formulate the algebraic nested Bethe ansatz for RTT algebras with an R-matrix of the sp( 4 ) type. We obtain the Bethe vectors and Bethe conditions for any highest-weight representation of these RTT algebras.

Theoretical and Mathematical Physics•Jan 1, 2019•9 citations

Nested Bethe Ansatz for RTT-Algebras of sp(2n) Type

Č. Burdík, O. Navrátil

We study the highest weight representations of the RTT-algebras for the R-matrix of $$sp(2n)$$ type by the nested algebraic Bethe ansatz. For special representations these models were solved by Reshetikhin and by Martins and Ramos.

arXiv:1708.05633•Physics of Particles and Nuclei•Sep 1, 2018•5 citations

On Nested Bethe Ansatz for RTT Algebra of o(2n) Type

Č. Burdík, Ondřej Navrátil

We study the highest weight representations of the RTT algebras for the R matrix of o (2 n ) type by the nested algebraic Bethe ansatz. We show how auxiliary RTT algebra à can be used to find Bethe vectors and Bethe conditions. For special representations, in which representation of RTT algebra à is trivial, the problem was solved by Reshetikhin.

Physics of Atomic Nuclei•Nov 1, 2018•4 citations

Introduction to the nested algebraic Bethe ansatz

Nikita Slavnov

We give a detailed description of the nested algebraic Bethe ansatz. We consider integrable models with a \mathfrak{gl}_3 𝔤 𝔩 3 -invariant R R -matrix as the basic example, however, we also describe possible generalizations. We give recursions and explicit formulas for the Bethe vectors. We also give a representation for the Bethe vectors in the form of a trace formula.

arXiv:1911.12811•SciPost Physics Lecture Notes•Sep 2, 2020•23 citations

SU(N) Matrix Difference Equations and a Nested Bethe Ansatz

H. Babujian, M. Karowski, A. Zapletal

A system of SU(N)-matrix difference equations is solved by means of a nested version of a generalized Bethe Ansatz, also called "off shell" Bethe Ansatz. The highest weight property of the solutions is proved. (Part I of a series of articles on the generalized nested Bethe Ansatz and difference equations.)

arXiv:hep-th/9611005•Nov 1, 1996•2 citations

Algebraic Bethe ansatz for an integrable Uq[Sl(n|m)] vertex model with mixed representations

G A P Ribeiro, Marcio Jose Martins

arXiv:nlin/0512035•Nuclear Physics B•Jan 20, 2006•9 citations
Abstract We study the highest weight representations of the RTT-algebras for the R-matrix of spq(4)\mathop {{\text{sp}}}\nolimits_q (4)spq​(4) type by the nested algebraic Bethe ansatz. It is a generalization of our study for R-matrix of sp(4){\text{sp}}(4)sp(4) .
We study the highest weight representations of the RTT-algebras for the R-matrix of sp(2n)sp(2n)sp(2n) type by the nested algebraic Bethe ansatz. For special representations these models were solved by Reshetikhin and by Martins and Ramos.