Fusion rules and logarithmic representations of a WZW model at fractional level
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Publication:5949826
DOI10.1016/S0550-3213(01)00490-4zbMATH Open0989.81063arXivhep-th/0105046OpenAlexW2012595942MaRDI QIDQ5949826
Author name not available (Why is that?)
Publication date: 4 December 2001
Published in: (Search for Journal in Brave)
Abstract: The fusion products of admissible representations of the su(2) WZW model at the fractional level k=-4/3 are analysed. It is found that some fusion products define representations for which the spectrum of L_0 is not bounded from below. Furthermore, the fusion products generate representations that are not completely reducible and for which the action of L_0 is not diagonalisable. The complete set of representations that is closed under fusion is identified, and the corresponding fusion rules are derived.
Full work available at URL: https://arxiv.org/abs/hep-th/0105046
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