Bethe vectors ofGL(3)-invariant integrable models

DOI10.1088/1742-5468/2013/02/P02020zbMath1445.81030arXiv1210.0768OpenAlexW2060325251MaRDI QIDQ3301500

Nikita A. Slavnov, Stanislav Pakuliak, Eric Ragoucy, Samuel Belliard

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0768

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (16)

Asymptotic behaviour of two-point functions in multi-species models ⋮ Complete spectrum of quantum integrable lattice models associated to $\boldsymbol {\mathcal{U}_{q} (\widehat{gl_{n}})}$ by separation of variables ⋮ Modified algebraic Bethe ansatz: twisted XXX case ⋮ Zero modes method and form factors in quantum integrable models ⋮ Multiple actions of the monodromy matrix in \(\mathfrak{gl}(2|1)\)-invariant integrable models ⋮ Reflection algebra and functional equations ⋮ Action of the monodromy matrix elements in the generalized algebraic Bethe ansatz ⋮ Multiple integral formulae for the scalar product of on-shell and off-shell Bethe vectors in \(SU(3)\)-invariant models ⋮ Correlation functions of the half-infinite XXZ spin chain with a triangular boundary ⋮ Form factors in quantum integrable models with \(GL(3)\)-invariant \(R\)-matrix ⋮ Generating function for scalar products in the algebraic Bethe ansatz ⋮ Scalar product of twisted XXX modified Bethe vectors ⋮ Bethe vectors for composite models with \(\mathfrak{gl}(2|1)\) and \(\mathfrak{gl}(1|2)\) supersymmetry ⋮ Multiple commutation relations in the models with \(\mathfrak{gl}(2|1)\) symmetry ⋮ Why scalar products in the algebraic Bethe ansatz have determinant representation ⋮ New compact construction of eigenstates for supersymmetric spin chains

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