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


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Abstract

We study the highest weight representations of the RTT algebras for the R matrix of o(2n) 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.

About the authors

Čestmír Burdík

Faculty of Nuclear Sciences and Physical Engineering, CTU

Author for correspondence.
Email: burdices@kmlinux.fjfi.cvut.cz
Czech Republic, Prague

Ondřej Navrátil

Faculty of Transportation Sciences, CTU

Email: burdices@kmlinux.fjfi.cvut.cz
Czech Republic, Prague

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