Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems

dc.contributor.authorTalalaev, D.V.
dc.date.accessioned2019-02-18T16:44:46Z
dc.date.available2019-02-18T16:44:46Z
dc.date.issued2017
dc.description.abstractThe 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.uk_UA
dc.description.sponsorshipThis 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.uk_UA
dc.identifier.citationZamolodchikov 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.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 16T25
dc.identifier.otherDOI:10.3842/SIGMA.2017.031
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/148625
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleZamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systemsuk_UA
dc.typeArticleuk_UA

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