Exact steady states of asymmetric diffusion and two-species annihilation with back reaction from the ground state of quantum spin models, F.C. Alcaraz Schrodinger invariance in discrete stochastic systems, M. Henkel and G. Schutz explicit thermostatics of Stanley's n-vector model on the harmonic chain by Fourier analysis, G. Junkel and H. Leschke non-Hermitian tricriticality in the Blume-Capel model with imaginary field, G. von Gehlen fusion of A-D-E lattice models, Y.-K. Zhou and P.A. Pearce a critical Ising model on the labyrinth, M. Baake et al Ising-like quantum chains with local supersymmetry, T.H. Baker and P.D. Jarvis q-deformations of quantum spin chains with exact valence-bond ground states, M.T. Batchelor and C.M. Yung the tensor product of tensor operators over quantum algebras - some applications to quantum spin chains, M. Scheunert infinite families of gauge-equivalent R-matrices and gradations of quantized affine algebras, A.J. Bracken et al sigma models with (2,2) world sheet supersymmetry, F. Delduc and E. Sokatchev. (Part Contents).
Exact steady states of asymmetric diffusion and two-species annihilation with back reaction from the ground state of quantum spin models, F.C. Alcaraz Schrodinger invariance in discrete stochastic systems, M. Henkel and G. Schutz explicit thermostatics of Stanley's n-vector model on the harmonic chain by Fourier analysis, G. Junkel and H. Leschke non-Hermitian tricriticality in the Blume-Capel model with imaginary field, G. von Gehlen fusion of A-D-E lattice models, Y.-K. Zhou and P.A. Pearce a critical Ising model on the labyrinth, M. Baake et al Ising-like quantum chains with local supersymmetry, T.H. Baker and P.D. Jarvis q-deformations of quantum spin chains with exact valence-bond ground states, M.T. Batchelor and C.M. Yung the tensor product of tensor operators over quantum algebras - some applications to quantum spin chains, M. Scheunert infinite families of gauge-equivalent R-matrices and gradations of quantized affine algebras, A.J. Bracken et al sigma models with (2,2) world sheet supersymmetry, F. Delduc and E. Sokatchev. (Part Contents).
About the book: This volume consists of a collection of recent research articles dedicated to Vladimir Rittenberg on the occasion of his 60th birthday. Various aspects of solvable models in different areas of theoretical and mathematical physics are covered. Particular topics include diffusion, self-organized criticality, classical and quantum spin chains, two-dimensional lattice models, quantum algebras, and conformal field theory. The list of contributing authors contains altogether 34 names, including among others, Baxter, Cardy, Itzykson, Martin, McCoy, Nahm, Pearce and de Vega.
About the book: This volume consists of a collection of recent research articles dedicated to Vladimir Rittenberg on the occasion of his 60th birthday. Various aspects of solvable models in different areas of theoretical and mathematical physics are covered. Particular topics include diffusion, self-organized criticality, classical and quantum spin chains, two-dimensional lattice models, quantum algebras, and conformal field theory. The list of contributing authors contains altogether 34 names, including among others, Baxter, Cardy, Itzykson, Martin, McCoy, Nahm, Pearce and de Vega.
Part 1 Satellite meeting of Statphys-19: quantum domains in ferromagnetic anisotropic Heisenberg chains, F.C. Alcaraz et al algebraic solution of the coincidence problem for crystals and quasi crystals, M. Baake reflection equations and surface critical phenomena, M.T. Batchelor quantum field theories in terms of group-valued local fields - an overview, L.L. Chau U(1)-invariant local and integrable lattice formulation of the massive Thirring model, C. Destri dilute algebras and solvable lattice models, U. Grimm quantum group and the Hofstadter problem, Y. Hatsugai et al domain walls in the spin-S quantum Ising chain, M. Henkel mutual exclusion statistics in the exactly solvable model of the Mott metal-insulator transition, M. Kohmoto et al boundary Yang-Baxter in the RSOS/SOS representation, W.M. Koo and C. Ahn probability of phase separation and two point temperature correlation functions for the Bose gas with delta interaction, V.E. Korepin and A.R. Its the generalized chiral clock model and its phase diagram, H. Au-Yang and J.H.H. Perk stochastic reaction-diffusion processes, operator algebras and integrable quantum spin chains, G.M. Schutz vertex-face correspondence in elliptic solutions of the Yang-Baxter equation, Y. Shibukawa logarithmic anomalies of susceptibility for solvable models, M. Takahashi on chiral Hubbard model at strong interaction, D.F. Wang soluble free-fermion models in d dimensions, F.Y. Wu bosonization based on Bethe Ansatz equations and proof of the conformal conjecture, Y.S. Wu and Y Yu. Part 3 The seventh Nankai workshop: one dimensional lattice models of electrons with r2 hopping and exchange, Ch. Gruber and D.F. Wang symmetry group invariants for spontaneous magnetization, J.-M. Maillard Zamolodchikov-Faddeev algebra vertex models, H.-P. Eckle scaling properties of the Ising model in a field, U. Grimm and B. Nienhuis experimental realizations of integrable reaction-diffusion processes in biological and chemical systems, G.M. Schutz and other papers. (Part contents).
Some of the early history of exactly soluble models, E.H. Lieb the many faces of the chiral Potts model, H. Au-Yang and J.H.H. Perk star-triangle and star-star relations in statistical mechanics, R.J. Baxter knot theory and statistical mechanics, L.H. Kauffman star-star relation for the Potts model, C. King and F.Y. Wu finite temperature correlations of the Ising chain in a transverse field, S. Sachdev exact solutions of low-dimensional reaction-diffusion systems, A.M.R. Cadilhe et al the infinite-state Potts model and solid partitions of an integer, H.Y. Huang and F.Y. Wu exact evaluation of thermodynamic quantities for the integrable T-J chain, A. Klumper multilayer extension of two-dimensional solvable statistical models to three dimensions, V. Popkov a higher-level Bailey lemma, A. Schilling and S.O. Warnaar the Heisenberg chain as a dynamical model for protein synthesis - some theoretical and experimental results, G.M. Schutz free fermion conditions and the symmetries of integrability, C.-M. Viallet. (Part contents).
From Pauli matrices to r-matrices, A.J. Bracken statistical mechanics - from Ising models to unitary minimal models, P.A. Pearce symmetry breaking and nucleon structure, A.W. Thomas electron-atom collisions, I.E. McCarthy exact s-functions and quantum-scattering potentials, K. Amos dimensional odd-ities, R. Delbourgo mathematical remarks on the cohomology of gauge groups and anomalies, A.L. Carey and M.K. Murray the Ising model and its descendants, R.J. Baxter integrable SU(2)-invariant spin chains and the haldane conjecture, M.T. Batchelor and C.M. Yung generalized characteristic identities and applications, P.D. Jarvis and D.S. McAnally quantum group and group link polynomials, M.D. Gould discrete space-time, P. Szekeres.