W-Algebras, New Rational Models and Completeness of the c = 1 Classification
نویسنده
چکیده
Two series of W-algebras with two generators are constructed from chiral vertex operators of a free field representation. If c = 1 − 24k, there exists a W(2, 3k) algebra for k ∈ ZZ+/2 and a W(2, 8k) algebra for k ∈ ZZ+/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 charge ceff = 1. The results are generalized to the case of extended supersymmetric conformal algebras. Post address: Nussallee 12 W-5300 Bonn 1 Germany email: unp055@dbnrhrz1 BONN-HE-92-08 Bonn University March 1992
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X iv : h ep - t h / 92 07 01 9 v 1 8 J ul 1 99 2 W - Algebras , New Rational Models and Completeness of the c = 1 Classification
Two series of W-algebras with two generators are constructed from chiral vertex operators of a free field representation. If c = 1 − 24k, there exists a W(2, 3k) algebra for k ∈ ZZ+/2 and a W(2, 8k) algebra for k ∈ ZZ+/4. All possible lowestweight representations, their characters and fusion rules are calculated proving that these theories are rational. It is shown, that these non-unitary theor...
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تاریخ انتشار 1992