Rational so(3) Gaudin model with general boundary terms

Manojlović, Nenad; Salom, I.

http://hdl.handle.net/10400.1/18473

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Autores

Manojlović, Nenad

Salom, I.

Resumo(s)

We study the so(3) Gaudin model with general boundary K-matrix in the framework of the algebraic Bethe ansatz. The off-shell action of the generating function of the so(3) Gaudin Hamiltonians is determined. The proof based on the mathematical induction is presented on the algebraic level without any restriction whatsoever on the boundary parameters. The so(3) Gaudin Hamiltonians with general boundary terms are given explicitly as well as their off-shell action on the Bethe states. The correspondence between the Bethe states and the solutions to the generalized so(3) Knizhnik-Zamolodchikov equations is established. In this context, the on-shell norm of the Bethe states is determined as well as their off-shell scalar product.

URI

http://hdl.handle.net/10400.1/18473

Editora

Elsevier

DOI

10.1016/j.nuclphysb.2022.115747

Coleções

FCT2-Artigos (em revistas ou actas indexadas)

Licença CC

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