Exactly solved models and beyond: a special issue in honour of R J Baxter’s 75th birthday

DOI10.1088/1751-8113/50/1/010301zbMath1361.81013arXiv1608.04899OpenAlexW3102703809MaRDI QIDQ2965324

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Publication date: 2 March 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.04899

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) Collections of articles of miscellaneous specific interest (00B15) Proceedings, conferences, collections, etc. pertaining to quantum theory (81-06) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Yang-Baxter equations (16T25)

Cites Work

• Statistical mechanics: A perspective on the work of R. J. Baxter
• Topological defects on the lattice: I. The Ising model
• Yang–Baxter integrable models in experiments: from condensed matter to ultracold atoms
• Exact quantum numbers of collapsed and non-collapsed two-string solutions in the spin-1/2 Heisenberg spin chain
• Integrability and conformal data of the dimer model
• Q-colourings of the triangular lattice: exact exponents and conformal field theory
• Universal low-energy physics in 1D strongly repulsive multi-component Fermi gases
• The hexagon in the mirror: the three-point function in the SoV representation
• Fused RSOS lattice models as higher-level nonunitary minimal cosets
• Bethe subalgebras in affine Birman–Murakami–Wenzl algebras and flat connections for q-KZ equations
• Theta function solutions of the quantum Knizhnik–Zamolodchikov–Bernard equation for a face model
• Dilute oriented loop models
• Bethe states of the integrable spin-schain with generic open boundaries
• Singular dynamics of aq-difference Painlevé equation in its initial-value space
• Yang–Baxter equations with two Planck constants
• An integrable case of thep+ ippairing Hamiltonian interacting with its environment
• The eight-vertex model with quasi-periodic boundary conditions
• From quantum Bäcklund transforms to topological quantum field theory
• On determinant representations of scalar products and form factors in the SoV approach: the XXX case
• Multispecies TASEP and the tetrahedron equation
• Quasi-classical expansion of the star-triangle relation and integrable systems on quad-graphs
• Correlation functions of the integrable spin-schain
• The early history of the integrable chiral Potts model and the odd–even problem
• CSOS models descending from chiral Potts models: degeneracy of the eigenspace and loop algebra
• An exact solution of three interacting friendly walks in the bulk
• Entanglement entropy from corner transfer matrix in Forrester–Baxter non-unitary RSOS models
• q-bosons, Toda lattice, Pieri rules and Baxterq-operator
• The Yang–Baxter relation and gauge invariance
• Fidelities in the spin-boson model
• Cylindric partitions, ${{\boldsymbol{ \mathcal W }}}_{r}$ characters and the Andrews–Gordon–Bressoud identities
• Diffusion processes and the asymptotic bulk gap probability for the real Ginibre ensemble
• Fusion for the one-dimensional Hubbard model
• Tetrahedron equation and generalized quantum groups
• Invariants of the vacuum module associated with the Lie superalgebra ${\mathfrak{gl}}(1| 1)$
• Low-temperature spectrum of correlation lengths of the XXZ chain in the antiferromagnetic massive regime
• The symmetric six-vertex model and the Segre cubic threefold
• Exact solution of the $p+{\rm{i}}p$ Hamiltonian revisited: duality relations in the hole-pair picture
• Matrix product formula for Macdonald polynomials
• Integrability from 2d ${\mathcal{N}}=(2,2)$ dualities
• On the complete-spectrum characterization of quantum integrable spin chains via inhomogeneousT–Qrelation
• New solutions of the star–triangle relation with discrete and continuous spin variables
• Compressed self-avoiding walks, bridges and polygons
• Exact formulas for the form factors of local operators in the Lieb–Liniger model
• Critical points of Potts and O(N) models from eigenvalue identities in periodic Temperley–Lieb algebras
• Influence of boundary conditions on bulk properties of six-vertex model
• Algebraic equations for the exceptional eigenspectrum of the generalized Rabi model
• Non-Abelian ${SU}{(3)}_{k}$ anyons: inversion identities for higher rank face models
• Inhomogeneous discrete-time exclusion processes
• On the critical parameters of theq≤ 4 random-cluster model on isoradial graphs
• Microscopic approach to a class of 1D quantum critical models
• Diagonals of rational functions and selected differential Galois groups
• Automata and the susceptibility of the square lattice Ising model modulo powers of primes
• Integrable model of bosons in a four-well ring with anisotropic tunneling
• Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity
• Quantum toroidal $\mathfrak{g}{{\mathfrak{l}}_{1}}$ and Bethe ansatz
• Some academic and personal reminiscences of Rodney James Baxter
• Discrete holomorphicity in the chiral Potts model
• Algebraic Bethe ansatz forQ-operators: the Heisenberg spin chain
• The Baxter revolution.
• Proceedings of the Baxter revolution in mathematical physics. A workshop in honor of R. J. Baxter's 60th birthday, Australian National University, Canberra, Australia, February 13--19, 2000

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