New trends in quantum integrable systems: proceedings of the Infinite Analysis 09 : Kyoto, Japan 27-31 July 2009
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| Sprache: | English |
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| Beschreibung: | Includes bibliographical references Properties of linear integral equations related to the six-vertex model with disorder parameter / Hermann Boos and Frank Gohmann -- Algebraic aspects of the correlation functions of the integrable higher-spin XXZ spin chains with arbitrary entries / Tetsuo Deguchi and Chihiro Matsui -- Characters of coinvariants in (1, p) logarithmic models / Boris L. Feigin and Ilya Yu. Tipunin -- XXZ scalar products, Miwa variables and discrete KP / Omar Foda and Gus Schrader -- Quantum spin chains at finite temperatures / Frank Gohmann and Junji Suzuki -- Tropical spectral curves, Fay's trisecant identity, and generalized ultradiscrete Toda lattice / Rei Inoue and Shinsuke Iwao -- On one-point functions of descendants in sine-Gordon model / Michio Jimbo, Tetsuji Miwa and Fedor Smirnov -- Perfect crystals for the quantum affine algebra U[symbol] / Seok-Jin Kang ... [et al.] -- Boundary quantum Knizhnik-Zamolodchikov equation / Masahiro Kasatani -- - A pentagon of identities, graded tensor products, and the Kirillov-Reshetikhin conjecture / Rinat Kedem -- TBA for the Toda chain / Karol Kajetan Kozlowski and Jorg Teschner -- Generalized energies and integrable D[symbol] cellular automaton / Atsuo Kuniba, Reiho Sakamoto and Yasuhiko Yamada -- Dyson's constant for the hypergeometric kernel / Oleg Lisovyy -- Representation theory of a small ramified partition algebra / Paul P. Martin -- The saga of the Ising susceptibility / Barry M. McCoy -- Bethe algebra of the [symbol] Gaudin model and algebra of functions on the critical set of the master function / Evgeny Mukhin, Vitaly Tarasov and Alexander Varchenko -- T-systems, Y-systems, and cluster algebras : Tamely laced case / Tomoki Nakanishi -- Periodic Benjamin-Ono equation with discrete Laplacian and 2D-Toda hierarchy / Jun'ichi Shiraishi and Yohei Tutiya -- KP and Toda tau functions in Bethe ansatz / Kanehisa Takasaki -- - Introduction to middle convolution for differential equations with irregular singularities / Kouichi Takemura -- Differential equations compatible with boundary rational qKZ equation / Yoshihiro Takeyama -- Classification of solutions to the reflection equation for the critical Z[symbol]-symmetric vertex model I / Yuji Yamada 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 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 learn about the most recent developments in the field of quantum integrable systems and related areas of mathematical physics |
| Beschreibung: | 1 Online-Ressource (xvii, 498 p.) |
| ISBN: | 9789814324366 9789814324373 9814324361 981432437X |
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| 500 | |a - A pentagon of identities, graded tensor products, and the Kirillov-Reshetikhin conjecture / Rinat Kedem -- TBA for the Toda chain / Karol Kajetan Kozlowski and Jorg Teschner -- Generalized energies and integrable D[symbol] cellular automaton / Atsuo Kuniba, Reiho Sakamoto and Yasuhiko Yamada -- Dyson's constant for the hypergeometric kernel / Oleg Lisovyy -- Representation theory of a small ramified partition algebra / Paul P. Martin -- The saga of the Ising susceptibility / Barry M. McCoy -- Bethe algebra of the [symbol] Gaudin model and algebra of functions on the critical set of the master function / Evgeny Mukhin, Vitaly Tarasov and Alexander Varchenko -- T-systems, Y-systems, and cluster algebras : Tamely laced case / Tomoki Nakanishi -- Periodic Benjamin-Ono equation with discrete Laplacian and 2D-Toda hierarchy / Jun'ichi Shiraishi and Yohei Tutiya -- KP and Toda tau functions in Bethe ansatz / Kanehisa Takasaki -- | ||
| 500 | |a - Introduction to middle convolution for differential equations with irregular singularities / Kouichi Takemura -- Differential equations compatible with boundary rational qKZ equation / Yoshihiro Takeyama -- Classification of solutions to the reflection equation for the critical Z[symbol]-symmetric vertex model I / Yuji Yamada | ||
| 500 | |a 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 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 learn about the most recent developments in the field of quantum integrable systems and related areas of mathematical physics | ||
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| spelling | 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 Singapore World Scientific Pub Co Inc. c2011 1 Online-Ressource (xvii, 498 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references Properties of linear integral equations related to the six-vertex model with disorder parameter / Hermann Boos and Frank Gohmann -- Algebraic aspects of the correlation functions of the integrable higher-spin XXZ spin chains with arbitrary entries / Tetsuo Deguchi and Chihiro Matsui -- Characters of coinvariants in (1, p) logarithmic models / Boris L. Feigin and Ilya Yu. Tipunin -- XXZ scalar products, Miwa variables and discrete KP / Omar Foda and Gus Schrader -- Quantum spin chains at finite temperatures / Frank Gohmann and Junji Suzuki -- Tropical spectral curves, Fay's trisecant identity, and generalized ultradiscrete Toda lattice / Rei Inoue and Shinsuke Iwao -- On one-point functions of descendants in sine-Gordon model / Michio Jimbo, Tetsuji Miwa and Fedor Smirnov -- Perfect crystals for the quantum affine algebra U[symbol] / Seok-Jin Kang ... [et al.] -- Boundary quantum Knizhnik-Zamolodchikov equation / Masahiro Kasatani -- - A pentagon of identities, graded tensor products, and the Kirillov-Reshetikhin conjecture / Rinat Kedem -- TBA for the Toda chain / Karol Kajetan Kozlowski and Jorg Teschner -- Generalized energies and integrable D[symbol] cellular automaton / Atsuo Kuniba, Reiho Sakamoto and Yasuhiko Yamada -- Dyson's constant for the hypergeometric kernel / Oleg Lisovyy -- Representation theory of a small ramified partition algebra / Paul P. Martin -- The saga of the Ising susceptibility / Barry M. McCoy -- Bethe algebra of the [symbol] Gaudin model and algebra of functions on the critical set of the master function / Evgeny Mukhin, Vitaly Tarasov and Alexander Varchenko -- T-systems, Y-systems, and cluster algebras : Tamely laced case / Tomoki Nakanishi -- Periodic Benjamin-Ono equation with discrete Laplacian and 2D-Toda hierarchy / Jun'ichi Shiraishi and Yohei Tutiya -- KP and Toda tau functions in Bethe ansatz / Kanehisa Takasaki -- - Introduction to middle convolution for differential equations with irregular singularities / Kouichi Takemura -- Differential equations compatible with boundary rational qKZ equation / Yoshihiro Takeyama -- Classification of solutions to the reflection equation for the critical Z[symbol]-symmetric vertex model I / Yuji Yamada 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 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 learn about the most recent developments in the field of quantum integrable systems and related areas of mathematical physics MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Integral equations fast Mathematical physics fast Mathematische Physik Integral equations Congresses Mathematical physics Congresses (DE-588)1071861417 Konferenzschrift gnd-content Feigin, Boris L. Sonstige oth Jimbo, M. Sonstige oth Okado, Masato Sonstige oth Infinite Analysis 09 <2009, Kyoto, Japan> Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=374882 Aggregator Volltext |
| spellingShingle | New trends in quantum integrable systems proceedings of the Infinite Analysis 09 : Kyoto, Japan 27-31 July 2009 MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Integral equations fast Mathematical physics fast Mathematische Physik Integral equations Congresses Mathematical physics Congresses |
| subject_GND | (DE-588)1071861417 |
| title | New trends in quantum integrable systems proceedings of the Infinite Analysis 09 : Kyoto, Japan 27-31 July 2009 |
| title_auth | New trends in quantum integrable systems proceedings of the Infinite Analysis 09 : Kyoto, Japan 27-31 July 2009 |
| title_exact_search | New trends in quantum integrable systems proceedings of the Infinite Analysis 09 : Kyoto, Japan 27-31 July 2009 |
| title_full | 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 |
| title_fullStr | 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 |
| title_full_unstemmed | 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 |
| title_short | New trends in quantum integrable systems |
| title_sort | new trends in quantum integrable systems proceedings of the infinite analysis 09 kyoto japan 27 31 july 2009 |
| title_sub | proceedings of the Infinite Analysis 09 : Kyoto, Japan 27-31 July 2009 |
| topic | MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Integral equations fast Mathematical physics fast Mathematische Physik Integral equations Congresses Mathematical physics Congresses |
| topic_facet | MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis Integral equations Mathematical physics Mathematische Physik Integral equations Congresses Mathematical physics Congresses Konferenzschrift |
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