On the 2D zero modes' algebra of the SU(n) WZNW model
Mathematical Physics
2014-01-20 v1 High Energy Physics - Theory
math.MP
Quantum Algebra
Abstract
A quantum group covariant extension of the chiral parts of the Wess-Zumino-Novikov-Witten model on a compact Lie group G gives rise to two matrix algebras with non-commutative entries. These are generated by "chiral zero modes" which combine in the 2D model into "Q-operators" which encode information about the internal symmetry and the fusion ring. We review earlier results about the SU(n) WZNW Q-algebra and its Fock representation for n=2 and display the first steps towards their generalization to higher n.
Cite
@article{arxiv.1401.4394,
title = {On the 2D zero modes' algebra of the SU(n) WZNW model},
author = {Ludmil Hadjiivanov and Paolo Furlan},
journal= {arXiv preprint arXiv:1401.4394},
year = {2014}
}
Comments
10 pages, Talk presented by L.H. at the International Workshop LT10 (17-23 June 2013, Varna, Bulgaria)