Spin chains with boundary inhomogeneities

DOI10.1007/JHEP08(2021)053zbMath1469.83015arXiv2105.04982OpenAlexW3194643191MaRDI QIDQ1980620

Ana L. Retore, Rafael I. Nepomechie

Publication date: 8 September 2021

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

Full work available at URL: https://arxiv.org/abs/2105.04982

zbMATH Keywords

quantum groupsBethe ansatzlattice integrable models

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Groups and algebras in quantum theory and relations with integrable systems (81R12) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

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Integrable boundary conditions for staggered vertex models

Uses Software

• LieART

Cites Work

• Unnamed Item
• Review of AdS/CFT integrability, chapter IV.2: Deformations, orbifolds and open boundaries
• The antiferromagnetic transition for the square-lattice Potts model
• Factorizing particles on a half-line and root systems
• Quantum R matrix for the generalized Toda system
• Integrable quantum systems and classical Lie algebras
• The spectrum of the transfer matrices connected with Kac-Moody algebras
• \(C_n^{(1)}\), \(D_n^{(1)}\) and \(A_{2n-1}^{(2)}\) reflection \(K\)-matrices
• Surveying the quantum group symmetries of integrable open spin chains
• LieART -- a Mathematica application for Lie algebras and representation theory
• The spectrum of quantum-group-invariant transfer matrices
• \(B_n^{(1)}\) and \(A_{2n}^{(2)}\) reflection \(K\)-matrices
• Some algebraic aspects of the inhomogeneous six-vertex model
• Lattice regularisation of a non-compact boundary conformal field theory
• Factorization identities and algebraic Bethe ansatz for \({D}_2^{(2)}\) models
• On the scaling behaviour of the alternating spin chain
• The staggered six-vertex model: conformal invariance and corrections to scaling
• A staggered six-vertex model with non-compact continuum limit
• BOUNDARY S MATRIX AND BOUNDARY STATE IN TWO-DIMENSIONAL INTEGRABLE QUANTUM FIELD THEORY
• Nonlinear integral equations for the $\mathrm{SL}(2,\mathbb {R})/\mathrm{U}(1)$ black hole sigma model
• INTRODUCTION TO THE YANG-BAXTER EQUATION
• INTEGRABILITY OF OPEN SPIN CHAINS WITH QUANTUM ALGEBRA SYMMETRY
• Boundary conditions for integrable quantum systems
• Quantum group symmetries and completeness for $\boldsymbol {A}_{\boldsymbol {2n}}^{\boldsymbol{(2)}}$ open spin chains
• Correlation functions of the openXXZchain: I
• Off-Diagonal Bethe Ansatz for Exactly Solvable Models
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem