The tetrahedron equation and algebraic geometry

Autor:	I. G. Korepanov
Rok vydání:	1997
Předmět:	Statistics and Probability Algebra Pure mathematics Generalization Applied Mathematics General Mathematics Tetrahedron Bibliography Field theory (psychology) Statistical mechanics Algebraic geometry Quantum field theory Mathematics
Zdroj:	Journal of Mathematical Sciences. 83:85-92
ISSN:	1573-8795 1072-3374
DOI:	10.1007/bf02398463
Popis:	The tetrahedron equation arises as a generalization of the famous Yang-Baxter equation to the2+1-dimensional quantum field theory and three-dimensional statistical mechanics. Not much is known about its solutions. In the present paper, a systematic method of constructing nontrivial solutions to the tetrahedron equation with spin-like variables on the links is described. The essence of this method is the use of the so-called tetrahedral Zamolodchikov algebras. Bibliography:12 titles.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9362512953aea13c775dd7d36bd2804a https://doi.org/10.1007/bf02398463 Zobrazit plný text záznamu Full text from SpringerLink