Fusion in the entwined category of Yetter--Drinfeld modules of a rank-1 Nichols algebra

Autor:	Semikhatov, A. M.
Rok vydání:	2011
Předmět:	Mathematics - Quantum Algebra High Energy Physics - Theory Mathematical Physics
Zdroj:	Theoretical and Mathematical Physics 173 (2012) 1329--1358
Druh dokumentu:	Working Paper
DOI:	10.1007/s11232-012-0118-2
Popis:	We rederive a popular nonsemisimple fusion algebra in the braided context, from a Nichols algebra. Together with the decomposition that we find for the product of simple Yetter-Drinfeld modules, this strongly suggests that the relevant Nichols algebra furnishes an equivalence with the triplet W-algebra in the (p,1) logarithmic models of conformal field theory. For this, the category of Yetter-Drinfeld modules is to be regarded as an \textit{entwined} category (the one with monodromy, but not with braiding). Comment: 36 pages, amsart++, times, xy. V3: references added, an unnecessary assumption removed, plus some minor changes
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1109.5919 Zobrazit plný text záznamu View this record from Arxiv