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W-Algebras, New Rational Models and Completeness of the c = 1 Classification | | Michael Flohr
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8 Jul 1992 | | Journal: | Commun.Math.Phys. 157 (1993) 179-212 | | Subject: | hep-th | | Abstract: | 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 in $Z_{+}/2$ and a W(2,8k) algebra for k in $Z_{+}/4$. 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 $c_{eff} = 1$. The results are generalized to the case of extended supersymmetric conformal algebras. | | Source: | arXiv, hep-th/9207019 | | Services: | Forum | Review | PDF | Favorites | |
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