'Nonconstant cohomology' of Hietarinta's two-color solutions to four-simplex equation

Autor:	Korepanov, I. G.
Rok vydání:	2016
Předmět:	Mathematical Physics 82B23
Druh dokumentu:	Working Paper
Popis:	"Nonconstant cohomologies" are introduced for solutions of set-theoretical four-simplex equation (FSE). While usual cohomologies lead to solutions of constant quantum FSE, our "nonconstant cohomologies" lead to solutions of nonconstant quantum FSE. Computer calculations are presented showing that large spaces of such cohomologies exist for all Hietarinta's two-color linear solutions to set-theoretical FSE. After taking a partial trace of the corresponding quantum operators, combined with one additional trick, this leads to solutions of tetrahedron equation, including those with non-negative matrix elements, and not reducible to a permutation, even with cocycle multipliers. Comment: 10 pages. v2: new trick introduced leading to nontrivial tetrahedron solutions
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1601.04063 Zobrazit plný text záznamu View this record from Arxiv