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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive
TMF, 2019 Volume 198, Number 1, Pages 3–18 (Mi tmf9518)
This article is cited in 6 papers

Nested Bethe ansatz for the RTT algebra of $sp(4)$ type

Č. Burdík, O. Navrátil

Czech Technical University in Prague, Prague, Czech Republic

Abstract: 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.

Keywords: RTT algebra, nested Bethe ansatz.

Received: 10.12.2017
Revised: 17.01.2018

DOI: 10.4213/tmf9518


 English version: Theoretical and Mathematical Physics, 2019, 198:1, 1–16

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© Steklov Math. Inst. of RAS, 2024