Friday, April 6, 2012

1111.2037 (Paolo Furlan et al.)

Quantum su(n)_k monodromy matrices    [PDF]

Paolo Furlan, Ludmil Hadjiivanov
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).
View original: http://arxiv.org/abs/1111.2037

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