TY - JOUR

T1 - Unitarity and irrationality for the quantum algebra Uq[SU(2)]

AU - Mezincescu, Luca

AU - Nepomechie, Rafael I.

PY - 1990/8/30

Y1 - 1990/8/30

N2 - We consider the irreducible highest-weight finite-dimensional representations of the quantum algebra Uq[SU(2)], for q=exp (iπ p0) with 20<∞. 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.

AB - We consider the irreducible highest-weight finite-dimensional representations of the quantum algebra Uq[SU(2)], for q=exp (iπ p0) with 20<∞. 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.

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U2 - 10.1016/0370-2693(90)90622-D

DO - 10.1016/0370-2693(90)90622-D

M3 - Article

AN - SCOPUS:0001254584

VL - 246

SP - 412

EP - 416

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -