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The cannonical quantization of the WZNW model provides a complete set of exchange relation in the enlarged chiral state spaces that include the Gauss components M±, of the monodromy matrices M, .… (More)

The canonical approach to the chiral SU(n) WZNW model with a monodromy independent r{matrix is reviewed. Taking the quantum group symmetry of the model (which re ects its classical Poisson{Lie… (More)

The zero modes of the chiral SU (n) WZNW model give rise to an intertwining quantum matrix algebra A generated by an n x n matrix a = (a i α ), i, α = 1,....,n (with noncommuting entries) and by… (More)

We define the chiral zero modes' phase space of the G = SU(n) Wess–Zumino–Novikov–Witten (WZNW) model as an (n − 1)(n + 2)-dimensional manifold q equipped with a symplectic form Ωq involving a… (More)

The quantum dynamical Yang–Baxter (or Gervais–Neveu–Felder) equation defines an R-matrix R(p), where p stands for a set of mutually commuting variables. A family of SL(n)-type solutions of this… (More)

A zero modes’ Fock space $$\mathcal{F}_{q}$$ is constructed for the extended chiral $${su(2)}$$ WZNW model. It gives room to a realization of the fusion ring of representations of the restricted… (More)

Dynamical R-matrix relations are derived for the group-valued chiral vertex operators in the SU(n) WZNW model from the KZ equation for a general four-point function including two step operators. They… (More)

The left and right zero modes of the level k SU(n) WZNW model give rise to a pair of isomorphic (left and right) mutually commuting quantum matrix algebras. For a deformation parameter q being an… (More)

Chiral conformal blocks in a rational conformal field theory are a far-going extension of Gauss hypergeometric functions. The associated monodromy representations of Artin’s braid group Bn capture… (More)

Abstract Braid invariant quantum group extended su(2) k current algebra models and minimal conformal models are constructed using a pair of regular bases of n -point invariants in the space of… (More)