"Spread" restricted Young diagrams from a 2D WZNW dynamical quantum group
Mathematical Physics
2016-02-03 v2 High Energy Physics - Theory
math.MP
Quantum Algebra
Abstract
The Fock representation of the Q-operator algebra for the diagonal WZNW model on SU(n) at level k, where Q is the matrix of the 2D WZNW "zero modes" generating certain dynamical quantum group, is finite dimensional and has a natural basis labeled by su(n) Young diagrams Y of "spread" not exceeding h := k+n (spr (Y) = #(columns) + #(rows))
Keywords
Cite
@article{arxiv.1512.09031,
title = {"Spread" restricted Young diagrams from a 2D WZNW dynamical quantum group},
author = {Ludmil Hadjiivanov and Paolo Furlan},
journal= {arXiv preprint arXiv:1512.09031},
year = {2016}
}
Comments
10 pages, 8 figures, submitted to the Proceedings of the 11th International Workshop "Lie Theory and Its Applications in Physics" (Varna, Bulgaria, 15-21 June 2015); v.2 - amended Introduction, figures and list of references