Recursions in Calogero—Sutherland Model Based on Virasoro Singular Vectors
نویسندگان
چکیده
منابع مشابه
Projections 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.
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 کاملThe Super-virasoro Singular Vectors and Jack Superpolynomials Relationship Revisited
A recent novel derivation of the representation of Virasoro singular vectors in terms of Jack polynomials is extended to the supersymmetric case. The resulting expression of a generic super-Virasoro singular vector is given in terms of a simple di erential operator (whose form is characteristic of the sector, Neveu-Schwarz or Ramond) acting on a Jack superpolynomial. The latter is indexed by a ...
متن کاملmortality forecasting based on lee-carter model
over the past decades a number of approaches have been applied for forecasting mortality. in 1992, a new method for long-run forecast of the level and age pattern of mortality was published by lee and carter. this method was welcomed by many authors so it was extended through a wider class of generalized, parametric and nonlinear model. this model represents one of the most influential recent d...
15 صفحه اولReduction of the Knizhnik -zamolodchikov Equation – a Way of Producing Virasoro Singular Vectors *
We prove that for (half-) integer isospins the sl(2, C I) Knizhnik-Zamolodchikov equation reduces to the decoupling equation coming from Benoit-Saint-Aubin singular vectors. In the general case an algorithm is suggested which transforms, via the Knizhnik-Zamolodchikov equation, a Kac-Moody singular vector into a Virasoro one. * Work supported in part by the Bulgarian Foundation for Fundamental ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Theoretical Physics
سال: 2012
ISSN: 0253-6102
DOI: 10.1088/0253-6102/57/5/03