EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 94(108), pp. 169–180 (2013)

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Elaine Beltaos

Department of Mathematics and Statistics, Grant MacEwan University, Edmonton, Canada

Abstract: The affine Kac–Moody algebras give rise to rational conformal field theories (RCFTs) called the Wess–Zumino–Witten (WZW) models. An important component of an RCFT is its fusion ring, whose structure constants are given by the associated $S$-matrix. We apply a fixed point property possessed by the WZW models ("fixed point factorization") to calculate non-negative integer matrix representations of the fusion ring, allowing for the calculation of D-brane charges in string theory.

Classification (MSC2000): 17B81

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Electronic fulltext finalized on: 8 Nov 2013. This page was last modified: 22 Nov 2013.

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