The Branching Rules for Affine Lie Algebras

Lu, S.R.

doi:10.1006/aima.1994.1038

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2011

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“…The problem of branching functions construction in the coset models was considered in [26], [7], [27].…”

Section: Coset Modelsmentioning

confidence: 99%

Recursive algorithm and branching for nonmaximal embeddings

Lyakhovsky¹,

Nazarov²

2011

J. Phys. A: Math. Theor.

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Recurrent relations for branching coefficients in affine Lie algebras integrable highest weight modules are studied. The decomposition algorithm based on the injection fan technique is developed for the case of an arbitrary reductive subalgebra. In particular we consider the situation where the Weyl denominator becomes singular with respect to the subalgebra. We demonstrate that for any reductive subalgebra it is possible to define the injection fan and the analogue of the Weyl numerator -the tools that describe explicitly the recurrent properties of branching coefficients. Possible applications of the fan technique in CFT models are considered.

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“…The problem of branching functions construction in the coset models was considered in [26], [7], [27].…”

Section: Coset Modelsmentioning

confidence: 99%