Analytic expressions for singular vectors of theN=2 superconformal algebra
نویسندگان
چکیده
منابع مشابه
Construction 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...
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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 ...
متن کاملConstruction Formulae for Singular Vectors of the Topological and of the Ramond N=2 Superconformal Algebras
We write down one-to-one mappings between the singular vectors of the Neveu-Schwarz N=2 superconformal algebra and 16 + 16 types of singular vectors of the Topological and of the Ramond N=2 superconformal algebras. As a result one obtains construction formulae for the latter using the construction formulae for the Neveu-Schwarz singular vectors due to Dörrzapf. The indecomposable singular vecto...
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In this work we pursue the singular-vector analysis of the integrable perturbations of conformal theories that was initiated in [1]. Here we consider the detailed study of the N = 1 superconformal theory and show that all integrable perturbations can be identified from a simple singular-vector argument. We identify these perturbations as theories based on affine Lie superalgebras and show that ...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1996
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02101186