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Construction Formulae for Singular Vectors
 of the Topological N=2 Superconformal Algebra, IMAFFFM98/05 hepth/9802204
, 1998
"... We write down onetoone mappings between the singular vectors of the NeveuSchwarz 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 f ..."
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Cited by 5 (2 self)
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We write down onetoone mappings between the singular vectors of the NeveuSchwarz 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
Projections of Virasoro Singular Vectors
, 1992
"... 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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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
Singular vectors of the Virasoro algebra
, 1991
"... 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 e ..."
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Cited by 12 (0 self)
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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
and Singular Vectors of the WN Algebra
, 1995
"... Using the collective field method, we find a relation between the Jack symmetric polynomials, which describe the excited states of the CalogeroSutherland model, and the singular vectors of the WN algebra. Based on this relation, we obtain their integral representations. We also give a direct algebr ..."
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Using the collective field method, we find a relation between the Jack symmetric polynomials, which describe the excited states of the CalogeroSutherland model, and the singular vectors of the WN algebra. Based on this relation, we obtain their integral representations. We also give a direct
Singular Vectors of the Topological Conformal Algebra
, 1996
"... A general construction is found for ‘topological ’ singular vectors of the twisted N =2 superconformal algebra. It demonstrates many parallels with the known construction for affine sℓ(2) singular vectors due to Malikov–Feigin–Fuchs, but is formulated independently of the latter. The two constructio ..."
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A general construction is found for ‘topological ’ singular vectors of the twisted N =2 superconformal algebra. It demonstrates many parallels with the known construction for affine sℓ(2) singular vectors due to Malikov–Feigin–Fuchs, but is formulated independently of the latter. The two
Singular vectors of the WA2 algebra
, 1994
"... 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 det ..."
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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
Singular vectors of the N = 2 superconformal algebra
 Int. J. Mod. Phys
, 1995
"... We derive a set of recursion formulae to construct singular vectors for the N = 2 (untwisted) algebra, by using the approach of Bauer, di Francesco, Itzykson and Zuber. Applying these formulae, we obtain explicit expressions for the charged singular vectors and for a class of uncharged singular vect ..."
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Cited by 4 (3 self)
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We derive a set of recursion formulae to construct singular vectors for the N = 2 (untwisted) algebra, by using the approach of Bauer, di Francesco, Itzykson and Zuber. Applying these formulae, we obtain explicit expressions for the charged singular vectors and for a class of uncharged singular
SINGULAR VECTOR PERTURBATION UNDER GAUSSIAN NOISE
"... We perform a nonasymptotic analysis on the singular vector distribution under Gaussian noise. In particular, we provide sufficient conditions of a matrix for its first few singular vectors to have near normal distribution. Our result can be used to facilitate the error analysis in PCA. 1 ..."
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We perform a nonasymptotic analysis on the singular vector distribution under Gaussian noise. In particular, we provide sufficient conditions of a matrix for its first few singular vectors to have near normal distribution. Our result can be used to facilitate the error analysis in PCA. 1
Singular Vector Ensemble Forecasting Systems and the Prediction
"... The ECMWF ensemble weather forecasts are generated by perturbing the initial conditions of the forecast using a subset of the singular vectors of the linearised propagator. Previous results show that when creating probabilistic forecasts from this ensemble better forecasts are obtained if the mean ..."
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The ECMWF ensemble weather forecasts are generated by perturbing the initial conditions of the forecast using a subset of the singular vectors of the linearised propagator. Previous results show that when creating probabilistic forecasts from this ensemble better forecasts are obtained
Results 1  10
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2,961