World Scientific Publishing Company, 2011, 498 pages
The present volume is the result of the inteational workshop on New Trends in Quantum Integrable Systems that was held in Kyoto, Japan, from 27 to 31 July 2009. As a continuation of the RIMS Research Project "Method of Algebraic Analysis in Integrable Systems" in 2004, the workshop's aim was to cover exciting new developments that have emerged during the recent years.
Collected here are research articles based on the talks presented at the workshop, including the latest results obtained thereafter. The subjects discussed range across diverse areas such as correlation functions of solvable models, integrable models in quantum field theory, conformal field theory, mathematical aspects of Bethe ansatz, special functions and integrable differential/difference equations, representation theory of infinite dimensional algebras, integrable models and combinatorics.
Through these topics, the reader can lea about the most recent developments in the field of quantum integrable systems and related areas of mathematical physics.
Properties of linear integral equations related to the six-vertex model with disorder parameter
Algebraic aspects of the correlation functions of the integrable higher-spin XXZ spin chains with arbitrary entries
Characters of coinvariants in (1; p) logarithmic models
XXZ scalar products, Miwa variables and discrete KP
Quantum spin chains at finite temperatures
Tropical spectral curves, Fay's trisecant identity, and generalized ultradiscrete Toda lattice
On one-point functions of descendants in sine-Gordon model
Perfect crystals for the quantum affine algebra Uq(C(1)n )
Boundary quantum Knizhnik-Zamolodchikov equation
A pentagon of identities, graded tensor products, and the Kirillov-Reshetikhin conjecture
TBA for the Toda chain
Generalized energies and integrable D(1)n cellular automaton
Dyson's constant for the hypergeometric keel
Representation theory of a small rami ed partition algebra
The saga of the Ising susceptibility
Bethe algebra of the glN+1 Gaudin model and algebra of functions on the critical set of the master function
T-systems, Y-systems, and cluster algebras: Tamely laced case
Periodic Benjamin-Ono equation with discrete Laplacian and 2D-Toda Hierarchy
KP and Toda tau functions in Bethe ansatz
Introduction to middle convolution for dierential equations with irregular singularities
Dierential equations compatible with boundary rational qKZ equation
Classification of solutions to the reection equation for the critical ZN-symmetric vertex model I
The present volume is the result of the inteational workshop on New Trends in Quantum Integrable Systems that was held in Kyoto, Japan, from 27 to 31 July 2009. As a continuation of the RIMS Research Project "Method of Algebraic Analysis in Integrable Systems" in 2004, the workshop's aim was to cover exciting new developments that have emerged during the recent years.
Collected here are research articles based on the talks presented at the workshop, including the latest results obtained thereafter. The subjects discussed range across diverse areas such as correlation functions of solvable models, integrable models in quantum field theory, conformal field theory, mathematical aspects of Bethe ansatz, special functions and integrable differential/difference equations, representation theory of infinite dimensional algebras, integrable models and combinatorics.
Through these topics, the reader can lea about the most recent developments in the field of quantum integrable systems and related areas of mathematical physics.
Properties of linear integral equations related to the six-vertex model with disorder parameter
Algebraic aspects of the correlation functions of the integrable higher-spin XXZ spin chains with arbitrary entries
Characters of coinvariants in (1; p) logarithmic models
XXZ scalar products, Miwa variables and discrete KP
Quantum spin chains at finite temperatures
Tropical spectral curves, Fay's trisecant identity, and generalized ultradiscrete Toda lattice
On one-point functions of descendants in sine-Gordon model
Perfect crystals for the quantum affine algebra Uq(C(1)n )
Boundary quantum Knizhnik-Zamolodchikov equation
A pentagon of identities, graded tensor products, and the Kirillov-Reshetikhin conjecture
TBA for the Toda chain
Generalized energies and integrable D(1)n cellular automaton
Dyson's constant for the hypergeometric keel
Representation theory of a small rami ed partition algebra
The saga of the Ising susceptibility
Bethe algebra of the glN+1 Gaudin model and algebra of functions on the critical set of the master function
T-systems, Y-systems, and cluster algebras: Tamely laced case
Periodic Benjamin-Ono equation with discrete Laplacian and 2D-Toda Hierarchy
KP and Toda tau functions in Bethe ansatz
Introduction to middle convolution for dierential equations with irregular singularities
Dierential equations compatible with boundary rational qKZ equation
Classification of solutions to the reection equation for the critical ZN-symmetric vertex model I