On New Conformal Field Theories with Affine Fusion Rules

Details On New Conformal Field Theories with Affine Fusion Rules On New Conformal Field Theories with Affine Fusion Rules

1999-01-06

arxiv.org/abs/hep-th/9901022v3

Nucl.Phys. B561 (1999) 467-472

Physics

High Energy Physics

High Energy Physics - Theory

Minor correction in an example and some typos

Scientific paper

10.1016/S0550-3213(99)00506-4

Some time ago, conformal data with affine fusion rules were found. Our purpose here is to realize some of these conformal data, using systems of free bosons and parafermions. The so constructed theories have an extended $W$ algebras which are close analogues of affine algebras. Exact character formulae is given, and the realizations are shown to be full fledged unitary conformal field theories.

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