Fusion Rules for Extended Current Algebras

Details Fusion Rules for Extended Current Algebras Fusion Rules for Extended Current Algebras

1996-01-22

arxiv.org/abs/hep-th/9601114v2

Mod.Phys.Lett. A11 (1996) 1929-1946

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, Latex, few references and figures are added

Scientific paper

10.1142/S0217732396001934

The initial classification of fusion rules have shown that rational conformal field theory is very limited. In this paper we study the fusion rules of extend ed current algebras. Explicit formulas are given for the S matrix and the fusion rules, based on the full splitting of the fixed point fields. We find that in s ome cases sensible fusion rules are obtained, while in others this procedure lea ds to fractional fusion constants.

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