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Prog. Theor. Phys. Vol. 86 No. 2 (1991) pp. 563-573

[ Full Text PDF : FREE ACCESS (432K) ]

Determination of Fusion Rule for E8-Type Conformal Field Theory

Masahito Hayashi

Department of Physics, Kyoto University, Kyoto 606,
and
Uji Research Center, Yukawa Institute for Theoretical Physics, Kyoto University, Uji 611

(Received May 1, 1991)

Abstract:

We show that the fusion rule for a modular invariant E8-type conformal field theory, which is constructed from the one for the A1(1) Kac-Moody algebra by naive extension, is not associative. Then by imposing further restrictions to this naive fusion rule, we obtain 10 associative fusion rules for the left-right symmetric E8-type conformal field theory. We also discuss the factorization property of the fusion rule into left and right sectors.


URL : http://ptp.ipap.jp/link?PTP/86/563/
DOI : 10.1143/PTP.86.563

[ Full Text PDF : FREE ACCESS (432K) ] Citation:

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