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...
متن کاملSingular Vectors of the Virasoro Algebra
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 ...
متن کاملConstruction Formulae for Singular Vectors of the Topological N = 2 Superconformal Algebra
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...
متن کاملExplicit formula for singular vectors of the Virasoro algebra with central charge less than 1
We calculate explicitly the singular vectors of the Virasoro algebra with the central charge c ≤ 1. As a result, we have an infinite sequence of the singular vectors for each Fock space with given central charge and highest weight, and all its elements can be written in terms of the Jack symmetric functions with rectangular Young diagram. Since the paper of Belavin, Polyakov and Zamolodchikov [...
متن کاملProjections of Virasoro Singular Vectors
We use recently derived explicit formulae for the Virasoro algebra’s singular vectors to give constructive proofs of three results due to Feigin and Fuchs. The main result, which is needed for a rigorous treatment of fusion, describes the action of the singular vectors on conformal fields.
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1994
ISSN: 0370-2693
DOI: 10.1016/0370-2693(94)90765-x