Tetrahedron equation and the algebraic geometry

dc.creatorKorepanov, I. G.
dc.date1994-01-17
dc.date.accessioned2026-07-07T09:14:13Z
dc.date.available2026-07-07T09:14:13Z
dc.descriptionThe tetrahedron equation arises as a generalization of the famous Yang--Baxter equation to the 2+1-dimensional quantum field theory and the 3-dimensional statistical mechanics. Very little is still known about its solutions. Here a systematic method is described that does produce non-trivial solutions to the tetrahedron equation with spin-like variables on the links. The essence of the method is the use of the so-called tetrahedral Zamolodchikov algebras.
dc.description12 pages, to appear in ``Zapiski Nauchnyh Seminarov POMI'', S-Petersburg (English translation of a part of the author's Ph.D. Thesis, S-Petersburg, 1990)
dc.identifierhttps://arxiv.org/abs/hep-th/9401076
dc.identifierhttp://arxiv.org/abs/hep-th/9401076
dc.identifierZapiski Nauchn. Semin. POMI (S-Petersburg) 209 (1994) 137-149
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152594
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAlgebraic Geometry
dc.titleTetrahedron equation and the algebraic geometry
dc.typetext

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