A Classically Singular Representation of $ su_q(n) $

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, phyzzx, RCNP - 052

Scientific paper

10.1016/0375-9601(93)90024-T

A \rep of \sun, which diverges in the limit of \cl, is investigated. This is an infinite dimensional and a non-unitary \rep, defined for the real value of $ q, \ 0 < q < 1. $ Each \irrep is specified by $ n $ continuous variables and one discrete variable. This \rep gives a new solution of the Yang-Baxter equation, when the R-matrix is evaluated. It is shown that a continuous variables can be regarded as a spectral parameter.

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