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Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems
Інший ID:
2010 Mathematics Subject Classification: 16T25
DOI:10.3842/SIGMA.2017.031
DOI:10.3842/SIGMA.2017.031
Посилання:
Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems / D.V. Talalaev // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 14 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on Recent Advances in Quantum Integrable Systems. The
full collection is available at http://www.emis.de/journals/SIGMA/RAQIS2016.html.
The work was partially supported by the RFBR grant of Russian Foundation of Basic Research
17-01-00366A, grant of the support of scientific schools 4833.2014.1, and the grant of the Dynasty Foundation. I would like to thank the referees for careful reading of the manuscript and
constructive remarks on the material exposition.
Дата:
2017
Переглядів:
809
Завантажень:
358
Анотація:
The main aim of this work is to develop a method of constructing higher Hamiltonians of quantum integrable systems associated with the solution of the Zamolodchikov tetrahedral equation. As opposed to the result of V.V. Bazhanov and S.M. Sergeev the approach presented here is effective for generic solutions of the tetrahedral equation without spectral parameter. In a sense, this result is a two-dimensional generalization of the method by J.-M. Maillet. The work is a part of the project relating the tetrahedral equation with the quasi-invariants of 2-knots.
