Transmission matrices in \(\mathfrak{gl}_{\mathcal N}\) \& \(\mathfrak{U}_q(\mathfrak{gl}_{\mathcal N})\) quantum spin chains.

DOI10.1007/JHEP08(2013)103zbMath1342.81183arXiv1304.5901OpenAlexW2614864194MaRDI QIDQ737474

Anastasia Doikou

Publication date: 12 August 2016

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.5901

zbMATH Keywords

integrable hierarchieslattice integrable models

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (1)

The $\mathfrak{sl}({\mathcal N})$ twisted Yangian: bulk-boundary scattering and defects

Cites Work

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• Transmission amplitudes from Bethe ansatz equations
• Affine Toda field theories with defects
• Integrable defects in affine Toda field theory and infinite-dimensional representations of quantum groups
• Defects in the discrete non-linear Schrödinger model
• Scattering in the presence of a reflecting and transmitting impurity
• Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model
• Spectrum and Bethe ansatz equations for the \(U_q(\text{gl}(N))\) closed and open spin chains in any representation
• Quantum and classical integrable sine-Gordon model with defect
• Solving topological defects via fusion
• The quantum inverse problem method and the XYZ Heisenberg model
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Bulk and boundary \(S\)-matrices for the \(\text{SU}(N)\) chain.
• Purely transmitting defect field theories
• The sine-Gordon model with integrable defects revisited
• Sigma models in the presence of dynamical point-like defects
• Type-II Bäcklund transformations via gauge transformations
• Liouville integrable defects: the non-linear Schrödinger paradigm
• ALGEBRAIC ASPECTS OF THE BETHE ANSATZ
• Inverse scattering approach for massive Thirring models with integrable type-II defects
• Equivalences between spin models induced by defects
• SEMICLASSICAL ANALYSIS OF DEFECT SINE–GORDON THEORY
• The quantum nonlinear Schrödinger model with point-like defect
• A new class of integrable defects
• Comments on defects in thea_rToda field theories
• Factorization of Multiparticle Scattering in the Heisenberg Spin Chain
• Simplified calculation of boundarySmatrices
• Reflection–transmission algebras
• Analytical Bethe ansatz for closed and opengl(Script N)-spin chains in any representation
• FROM DEFECTS TO BOUNDARIES
• Jump-defects in the nonlinear Schrödinger model and other non-relativistic field theories
• ON A SYSTEMATIC APPROACH TO DEFECTS IN CLASSICAL INTEGRABLE FIELD THEORIES
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• A transmission matrix for a fused pair of integrable defects in the sine-Gordon model
• Soliton \(S\) matrices for the critical \(A^{(1)}_{\mathcal N-1}\) chain.

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