Hopping in the Phase Model to a Non-Commutative Verlinde Formula for Affine Fusion
Abstract
Korff and Stroppel discovered a realization of su(n) affine fusion, the fusion of the su(n) Wess-Zumino-Novikov-Witten (WZNW) conformal field theory, in the phase model, a limit of the q-boson hopping model. This integrable-model realization provides a new perspective on affine fusion, explored in a recent paper by the author. The role of WZNW primary fields is played in it by non-commutative Schur polynomials, and fusion coefficients are thus given by a non-commutative version of the Verlinde formula. We present the extension to all Verlinde dimensions, of arbitrary genus and any number N of points. The level-dependence of affine fusion is also discussed, using the concept of threshold level, and its generalization to threshold weight.
Keywords
Cite
@article{arxiv.1312.0956,
title = {Hopping in the Phase Model to a Non-Commutative Verlinde Formula for Affine Fusion},
author = {Mark A. Walton},
journal= {arXiv preprint arXiv:1312.0956},
year = {2013}
}
Comments
12 pages, 2 figures, article in proceedings of XXIst International Conference on Integrable Systems and Quantum Symmetries (ISQS21), Prague, June 2013