Cardy-Frobenius extension of algebra of cut-and-join operators

Autor:	Mironov, A., Morozov, A., Natanzon, S.
Rok vydání:	2012
Předmět:	High Energy Physics - Theory Mathematical Physics Mathematics - Combinatorics Mathematics - Geometric Topology
Zdroj:	Journal of Geometry and Physics, 73 (2013) 243-251
Druh dokumentu:	Working Paper
DOI:	10.1016/j.geomphys.2013.06.007
Popis:	Motivated by the algebraic open-closed string models, we introduce and discuss an infinite-dimensional counterpart of the open-closed Hurwitz theory describing branching coverings generated both by the compact oriented surfaces and by the foam surfaces. We manifestly construct the corresponding infinite-dimensional equipped Cardy-Frobenius algebra, with the closed and open sectors are represented by conjugation classes of permutations and the pairs of permutations, i.e. by the algebra of Young diagrams and bipartite graphes respectively. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1210.6955 Zobrazit plný text záznamu View this record from Arxiv