SINGULAR VECTORS OF THE TOPOLOGICAL CONFORMAL ALGEBRA
نویسندگان
چکیده
منابع مشابه
Singular vectors of the WA2 algebra
The null vectors of an arbitrary highest weight representation of the WA2 algebra are constructed. Using an extension of the enveloping algebra by allowing complex powers of one of the generators, analysed by Kent for the Virasoro theory, we generate all the singular vectors indicated by the Kac determinant. We prove that the singular vectors with given weights are unique up to normalisation an...
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We give expressions for the singular vectors in the highest weight representations of the Virasoro algebra. We verify that the expressions — which take the form of a product of operators applied to the highest weight vector — do indeed define singular vectors. These results explain the patterns of embeddings amongst Virasoro algebra highest weight representations. Conformal field theory relies ...
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The Topological N=2 Superconformal algebra has 29 different types of singular vectors (in complete Verma modules) distinguished by the relative U(1) charge and the BRST-invariance properties of the vector and of the primary on which it is built. Whereas one of these types only exists at level zero, the remaining 28 types exist for general levels and can be constructed already at level 1. In thi...
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It has been known for some time that the (1, 3) perturbations of the (2k + 1, 2) Virasoro minimal models have conserved currents which are also singular vectors of the Virasoro algebra. This also turns out to hold for the (1, 2) perturbation of the (3k± 1, 3) models. In this paper we investigate the requirement that a perturbation of an extended conformal field theory has conserved currents whi...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 1996
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x96002133