Vector Coherent State Realization of Representations of the Affine Lie Algebra hat{sl}(2)
classification
q-alg
math.QA
keywords
affinealgebracoherenthighestirrepsrepresentationsvectorweight
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The method of vector coherent states is generalized to study representations of the affine Lie algebra $\hat{sl}(2)$. A large class of highest weight irreps is explicitly constructed, which contains the integrable highest weight irreps as special cases.
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