W-Algebras,new rational models and completeness of thec=1 classification |
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Authors: | Michael Flohr |
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Affiliation: | (1) Physikalisches Institut, Universität Bonn, Nussallee 12, D-53115 Bonn, Germany |
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Abstract: | Two series ofW with two generators are constructed from chiral vertex operators of a free field representation. Ifc=1–24k, there exists aW(2, 3k) algebra for k +/2 and aW(2, 8k) algebra for k +/4. All possible lowest-weight representations, their characters and fusion rules are calculated proving that these theories are rational. It is shown, that these non-unitary theories complete the classification of all rational theories with effective central chargeceff=1. The results are generalized to the case of extended supersymmetric conformal algebras. |
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