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New trends in quantum integrable systems : proceedings of the Infinite Analysis 09, Kyoto, Japan, 27-31 July 2009 / editors, Boris Feigin, Michio Jimbo, Masato Okado.
- Format:
- Book
- Conference/Event
- Conference Name:
- Infinite Analysis (2009 : Kyoto, Japan)
- Language:
- English
- Subjects (All):
- Hamiltonian systems--Congresses.
- Hamiltonian systems.
- Mathematical physics--Congresses.
- Mathematical physics.
- Quantum theory--Congresses.
- Quantum theory.
- Physical Description:
- 1 online resource (400 p.)
- Other Title:
- Proceedings of the Infinite Analysis 09
- Place of Publication:
- Hackensack, N.J. : World Scientific, 2011.
- Language Note:
- English
- Summary:
- The present volume is the result of the international 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 mode
- Contents:
- PREFACE; WORKSHOP PROGRAM; LIST OF PARTICIPANTS; CONTENTS; 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 KERNEL; REPRESENTATION THEORY OF A SMALL RAMIFIED 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 CASEPERIODIC BENJAMIN-ONO EQUATION WITH DISCRETE LAPLACIAN AND 2D-TODA HIERARCHY; KP AND TODA TAU FUNCTIONS IN BETHE ANSATZ; INTRODUCTION TO MIDDLE CONVOLUTION FOR DIFFERENTIAL EQUATIONS WITH IRREGULAR SINGULARITIES; DIFFERENTIAL EQUATIONS COMPATIBLE WITH BOUNDARY RATIONAL qKZ EQUATION; CLASSIFICATION OF SOLUTIONS TO THE REFLECTION EQUATION FOR THE CRITICAL ZN-SYMMETRIC VERTEX MODEL I
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- ISBN:
- 9786613145109
- 9789814462921
- 9814462926
- 9781283145107
- 1283145103
- 9789814324373
- 981432437X
- OCLC:
- 741492791
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