Bethe Ansatz and Bethe Vectors Scalar Products

Abstract

An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra $U_q({\widehat{\mathfrak{gl}}}_3)$ is given. This result is obtained in the framework of the universal Bethe ansatz, using presentation of the universal Bethe vectors in terms of the total currents of a "new" realization of the quantum affine algebra $U_q({\widehat{\mathfrak{gl}}}_3)$.

SIGMA proceedings of RAQIS'10 (Recent Advances in Quantum Integrable Systems), June 15-18, 2010, LAPTH, Annecy-le-Vieux France

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Cited by in corpus (13)

• Bethe vectors of GL(3)-invariant integrable models
• Highest coefficient of scalar products in SU(3)-invariant integrable models
• Scalar products in generalized models with SU(3)-symmetry
• Scalar products of Bethe vectors in models with $\mathfrak{gl}(2|1)$ symmetry 2. Determinant representation
• Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric $R$-Matrix
• Multiple integral formulae for the scalar product of on-shell and off-shell Bethe vectors in SU(3)-invariant models
• Multiple Actions of the Monodromy Matrix in $\mathfrak{gl}(2|1)$-Invariant Integrable Models
• New Compact Construction of Eigenstates for Supersymmetric Spin Chains
• Scalar products in models with GL(3) trigonometric R-matrix. Highest coefficient
• Scalar products and norm of Bethe vectors for integrable models based on $U_q({\widehat{\mathfrak{gl}}}_n)$
• Generalized q-Onsager Algebras and Dynamical K-matrices
• Nested Algebraic Bethe Ansatz in integrable models: recent results
• Algebraic Bethe ansatz for ${\mathfrak{o}}_{2n+1}$-invariant integrable models