Quantum su(n)_k monodromy matrices

Details Quantum su(n)_k monodromy matrices Quantum su(n)_k monodromy matrices

2011-11-08

arxiv.org/abs/1111.2037v2

J. Phys. A: Math. Theor. 45 (2012) 165202

Physics

Mathematical Physics

v2: journal version

Scientific paper

10.1088/1751-8113/45/16/165202

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).

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