Fusion algebra at a rational level and cohomology of nilpotent subalgebras of sl₂
classification
✦ hep-th
math.QA
keywords
algebracohomologicalfusionlevelrationaladmissiblebyproductcalculate
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We define and calculate the fusion algebra of WZW model at a rational level by cohomological methods. As a byproduct we obtain a cohomological characterization of admissible representations of $\widehat{\gtsl}_{2}$.
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