The Unitarity of the W(3) Algebra from SU(3) Parafermion |
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Authors: | Xiang-Mao DING Heng FAN Kang-Jie SHI Pei WANG |
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Affiliation: | 1. Institute of Modern Physics, Northwest university, Xi-an 710069, China;2. CCAST (World Laboratory), P. O. Box 8730, Beijing 100080, China |
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Abstract: | We express the vacuum expectation value of the SU(3)k parafermion fields by that of two bosons and SU(3)k current algebra. When k = 1,2,3, the SU(3)k current algebra becomes an inner product of a unitary representation, and T(z), W(3)(z) are equivalent to "quasiself-adjoint" operators in this represen tation. |
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