Unitarity and irrationality for the quantum algebra Uq[SU(2)]

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Abstract

We consider the irreducible highest-weight finite-dimensional representations of the quantum algebra Uq[SU(2)], for q=exp (iπ p0) with 2<p0<∞. We find that there are three classes of such representations, which are characterized by their parity: +1 (corresponding to unitary representations), -1, and no definite parity. The representations of definite parity have dimensions that are given by the Takahashi-Suzuki numbers corresponding to the value of p0. We suggest that these representations may be relevant for conformal field theory.

Original languageEnglish (US)
Pages (from-to)412-416
Number of pages5
JournalPhysics Letters B
Volume246
Issue number3-4
DOIs
StatePublished - Aug 30 1990

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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