Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Special Issue on Recent Advances in Quantum Integrable Systems

The Guest Editors for this special issue are

Anton Alekseev (University of Geneva, Switzerland)
Andrey Bytsko (University of Geneva, Switzerland)
Éric Ragoucy (LAPTh, Annecy-le-vieux, France)

The issue is related to the conference Recent Advances in Quantum Integrable Systems, August 22–26, 2016, Geneva, Switzerland.

The general topics is the theory of quantum integrable systems and its applications, such as string/gauge theories, integrable quantum field theories, condensed matter physics (e.g., spin chains) or statistical physics (out-of-equilibrium systems).

The issue contains 10 papers with the total of 242 pages.

We wish to thank also all the conference participants, all the authors who have published papers in the issue, and to give our special thanks to all the referees for providing constructive reports.

The Guest Editors        

Papers in this Issue:

A Variational Principle for Discrete Integrable Systems
Sarah B. Lobb and Frank W. Nijhoff
SIGMA 14 (2018), 041, 18 pages   [ abs   pdf ]
Differential Calculus on h-Deformed Spaces
Basile Herlemont and Oleg Ogievetsky
SIGMA 13 (2017), 082, 28 pages   [ abs   pdf ]
Integrable Deformations of Sine-Liouville Conformal Field Theory and Duality
Vladimir A. Fateev
SIGMA 13 (2017), 080, 22 pages   [ abs   pdf ]
Integrability, Quantization and Moduli Spaces of Curves
Paolo Rossi
SIGMA 13 (2017), 060, 29 pages   [ abs   pdf ]
Zero Range Process and Multi-Dimensional Random Walks
Nicolay M. Bogoliubov and Cyril Malyshev
SIGMA 13 (2017), 056, 14 pages   [ abs   pdf ]
Integrable Structure of Multispecies Zero Range Process
Atsuo Kuniba, Masato Okado and Satoshi Watanabe
SIGMA 13 (2017), 044, 29 pages   [ abs   pdf ]
Highest $\ell$-Weight Representations and Functional Relations
Khazret S. Nirov and Alexander V. Razumov
SIGMA 13 (2017), 043, 31 pages   [ abs   pdf ]
Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of $2d$ Quantum Integrable Systems
Dmitry V. Talalaev
SIGMA 13 (2017), 031, 14 pages   [ abs   pdf ]
Drinfeld J Presentation of Twisted Yangians
Samuel Belliard and Vidas Regelskis
SIGMA 13 (2017), 011, 35 pages   [ abs   pdf ]
Multiple Actions of the Monodromy Matrix in $\mathfrak{gl}(2|1)$-Invariant Integrable Models
Arthur Hutsalyuk, Andrii Liashyk, Stanislav Z. Pakuliak, Eric Ragoucy and Nikita A. Slavnov
SIGMA 12 (2016), 099, 22 pages   [ abs   pdf ]

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