Quantum matrix algebra for the SU(n) WZNW model

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dc.creatorFurlan, P.
dc.creatorHadjiivanov, L. K.
dc.creatorIsaev, A. P.
dc.creatorOgievetsky, O. V.
dc.creatorPyatov, P. N.
dc.creatorTodorov, I. T.
dc.date2000-03-23
dc.date2003-04-01
dc.date.accessioned2026-07-07T10:53:20Z
dc.date.available2026-07-07T10:53:20Z
dc.descriptionThe 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) (with noncommuting entries) and by rational functions of n commuting elements q^{p_i}. We study a generalization of the Fock space (F) representation of A for generic q (q not a root of unity) and demonstrate that it gives rise to a model of the quantum universal enveloping algebra U_q(sl_n), each irreducible representation entering F with multiplicity 1. For an integer level k the complex parameter q is an even root of unity, q^h=-1 (h=k+n) and the algebra A has an ideal I_h such that the factor algebra A_h = A/I_h is finite dimensional.
dc.description48 pages, LaTeX, uses amsfonts; final version to appear in J. Phys. A
dc.identifierhttps://arxiv.org/abs/hep-th/0003210
dc.identifierhttp://arxiv.org/abs/hep-th/0003210
dc.identifierJ.Phys.A36:5497-5530,2003
dc.identifierdoi:10.1088/0305-4470/36/20/310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185449
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.titleQuantum matrix algebra for the SU(n) WZNW model
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