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26 April 2024
 
  » arxiv » 1111.2037

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Quantum su(n)_k monodromy matrices
Paolo Furlan ; Ludmil Hadjiivanov ;
Date 8 Nov 2011
AbstractThe 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).
Source arXiv, 1111.2037
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