arXiv:hep-th/9607083 · Nuclear Physics B

Yangian-invariant field theory of matrix-vector models

Jean Avan, Antal Jevicki, J. Lee

Published Feb 1, 1997• 14 citations

arXiv HTML PDF

DOI: 10.1016/s0550-3213(96)00663-3

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arXiv:hep-th/9607083 · Nuclear Physics B

Yangian-invariant field theory of matrix-vector models

Jean Avan, Antal Jevicki, J. Lee

Published Feb 1, 1997• 14 citations

arXiv HTML PDF

DOI: 10.1016/s0550-3213(96)00663-3

Related papers

Yangian symmetry in conformal field theory

Kareljan Schoutens

arXiv:hep-th/9401154Physics Letters BJul 1, 199462 citations

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Federico Finkel, Artemio González-López

arXiv:1501.05223Annals of PhysicsJul 26, 201516 citations

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Denis Bernard, Vincent Pasquier, Didina Serban

Apr 8, 199465 citations

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Julian Lee

Jan 1, 19940 citations

Algebraic Bethe ansatz for $\mathfrak o_{2n+1}$ -invariant integrable modelsAlgebraic Bethe ansatz for $$\mathfrak o_{2n+1}$$-invariant integrable models

Andrii Nikolaevich Liashyk, Stanislav Zdislavovich Pakuliak

We study the class of $\mathfrak{o} _{2n+1}$ -invariant quantum integrable models in the framework of the algebraic Bethe ansatz and propose a construction of the $\mathfrak{o} _{2n+1}$ -invariant Bethe vector in terms of the Drinfeld currents for the Yangian double $\mathcal{D}Y ( \mathfrak{o} _{2n+1})$ . We calculate the action of the monodromy matrix elements on the off-shell Bethe vectors for these models and obtain recurrence relations for these vectors. The action formulas can be used to investigate scalar products of Bethe vectors in $\mathfrak{o} _{2n+1}$ -invariant models.We study the class of $$ \mathfrak{o} _{2n+1}$$ -invariant quantum integrable models in the framework of the algebraic Bethe ansatz and propose a construction of the $$ \mathfrak{o} _{2n+1}$$ -invariant Bethe vector in terms of the Drinfeld currents for the Yangian double $$ \mathcal{D}Y ( \mathfrak{o} _{2n+1})$$ . We calculate the action of the monodromy matrix elements on the off-shell Bethe vectors for these models and obtain recurrence relations for these vectors. The action formulas can be used to investigate scalar products of Bethe vectors in $$ \mathfrak{o} _{2n+1}$$ -invariant models.

arXiv:2008.03664Theoretical and Mathematical PhysicsJan 1, 20218 citations

Symmetry of quantum matrix models

C.-W. H. Lee, S. G. Rajeev

AIP conference proceedingsJan 1, 19980 citations

Algebraic Bethe ansatz for

\mathfrak o_{2n+1}

-invariant integrable models

We study the class of

\mathfrak{o} _{2n+1}

-invariant quantum integrable models in the framework of the algebraic Bethe ansatz and propose a construction of the

\mathfrak{o} _{2n+1}

-invariant Bethe vector in terms of the Drinfeld currents for the Yangian double

\mathcal{D}Y ( \mathfrak{o} _{2n+1})

. We calculate the action of the monodromy matrix elements on the off-shell Bethe vectors for these models and obtain recurrence relations for these vectors. The action formulas can be used to investigate scalar products of Bethe vectors in

\mathfrak{o} _{2n+1}

-invariant models.