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Fusion rules and singular vectors of the osp(1|2) current algebra

I. P. Ennes·A. V. Ramallo
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Abstract

The fusion of Verma modules of the osp(1|2) current algebra is studied. In the framework of an isotopic formalism, the singular vector decoupling conditions are analyzed. The fusion rules corresponding to the admissible representations of the osp(1|2) algebra are determined. A relation between the characters of these last representations and those corresponding to the minimal superconformal models is found. A series of equations that relate the descendants of the highest weight vectors resulting from a fusion of Verma modules are obtained. Solving these equations the singular vectors of the theory can be determined.

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I. P. Ennes, A. V. Ramallo. 1997-04-08. Fusion rules and singular vectors of the osp(1|2) current algebra. https://doi.org/10.1016/s0550-3213(97)00442-2

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