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Abstract: Recurrent relations for branching coefficients in affine Lie algebrasintegrable highest weight modules are studied. The decomposition algorithmbased on the injection fan technique is developed for the case of an arbitraryreductive subalgebra. In particular we consider the situation where the Weyldenominator becomes singular with respect to the subalgebra. We demonstratethat for any reductive subalgebra it is possible to define the injection fanand the analogue of the Weyl numerator - the tools that describe explicitly therecurrent properties of branching coefficients. Possible applications of thefan technique in CFT models are considered.



Author: Vladimir Lyakhovsky, Anton Nazarov

Source: https://arxiv.org/







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