Quantum su(n)_k monodromy matrices
arXiv:1111.2037 · doi:10.1088/1751-8113/45/16/165202
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).
v2: journal version
References in corpus (6)
- Chiral Extensions of the WZNW Phase Space, Poisson-Lie Symmetries and Groupoids
- Spectral extension of the quantum group cotangent bundle
- Zero modes' fusion ring and braid group representations for the extended chiral su(2) WZNW model
- Quantum matrix algebra for the SU(n) WZNW model
- Chiral zero modes of the SU(n) Wess-Zumino-Novikov-Witten model
- On the rational solutions of the su(2)_k Knizhnik-Zamolodchikov equation