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Recent advances in quantum integrable systems

Luigi Amico A, Alexander A. Belavin, E. Buffenoir, A Castro Alvaredo, Caudrelier, Amlan Chakrabarti, E Corrig, Nicolas Crampé, Tetsuo Deguchi, V. K. Dobrev, Anastasia Doikou, Benjamin Doyon, L. Fehér, Davide Fioravanti A, Frank Göhmann, Martin A. Hallnäs, M. Jimbo, Norio Konno, Gregory P. Korchemsky, P. P. Kulish, Michel Lassalle, Jean Michel Maillet, Barry M. McCoy, Mihail Mintchev, Stanislav Zdislavovich Pakuliak, F Y.Z. Quano, R Ragnisco, Francesco Ravanini, Rittenberg, Rivasseau, Matteo A. C. Rossi, Giovanni Satta, Tigran Sedrakyan, J Shiraishi, Nomichi Suzuki, Yasuhiro Yamada, Al.B. Zamolodchikov, Yukitaka Ishimoto, Zoltán Nagy, Severin Pošta, Moulay Brahim Sedra, A Zuevskiy

Published Jul 1, 2005• 1 citation

Abstract

This meeting was dedicated to different aspects of the theory of quantum integrable systems. The organizers have intended to concentrate on topics related to the study of correlation functions, to systems with boundaries and to models at roots of unity. This document gathers the abstracts of 32 contributions, most of the contributions are accompanied by the set of transparencies.

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This meeting was dedicated to different aspects of the theory of quantum integrable systems. The organizers have intended to concentrate on topics related to the study of correlation functions, to systems with boundaries and to models at roots of unity. This document gathers the abstracts of 32 contributions, most of the contributions are accompanied by the set of transparencies.

This document provides a technical referee-style analysis of Boundary Liouville Field Theory, focusing on the mathematical conditions required for a quantum field theory with boundaries to be considered functionally complete. Rather than addressing phenomenological results, the review concentrates on structural aspects such as the existence of a generating functional, control of quadratic fluctuations, stability of boundary modes, and infrared–ultraviolet matching. To facilitate a transparent assessment, a model-independent consistency benchmark is included as an appendix. The benchmark formulates minimal functional criteria—variational closure, emergence of operator structure, spectral control, and ultraviolet behavior—that any closed theoretical framework is expected to satisfy. The purpose of this analysis is not to invalidate specific constructions, but to clarify the distinction between formally consistent sets of correlation functions and theories admitting a complete functional and spectral interpretation. The benchmark is intended as a reusable diagnostic tool applicable to a broad class of field-theoretic models with boundaries.

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.