Quantum su(n)_k monodromy matrices
Mathematical Physics
2012-04-06 v2 High Energy Physics - Theory
math.MP
Quantum Algebra
Abstract
The canonical quantization of the chiral Wess-Zumino-Novikov-Witten (WZNW) monodromy matrices (both the diagonal and the general one) requires additional numerical factors that can be attributed to renormalization. We discuss, for G=SU(n), the field-theoretic and algebraic aspects of this phenomenon and show that these renormalization factors are compatible with the natural definitions of quantum determinants possessing the factorization property (i.e., the determinant of a product is equal to the product of determinants, which is a non-trivial fact for matrices with non-commuting entries).
Cite
@article{arxiv.1111.2037,
title = {Quantum su(n)_k monodromy matrices},
author = {Paolo Furlan and Ludmil Hadjiivanov},
journal= {arXiv preprint arXiv:1111.2037},
year = {2012}
}
Comments
v2: journal version