منابع مشابه
Singular Vectors for the Wn Algebras
In this paper, we use free field realisations of the A-type principal, or Casimir, WN algebras to derive explicit formulae for singular vectors in Fock modules. These singular vectors are constructed by applying screening operators to Fock module highest weight vectors. The action of the screening operators is then explicitly evaluated in terms of Jack symmetric functions and their skew analogu...
متن کاملhep-th/9503028 A Note on Calogero-Sutherland Model, Wn Singular Vectors and Generalized Matrix Models †
The Calogero-Sutherland models is a quantum mechanical system with a long-range interaction. It has been actively studied as a solvable system with anyonic statistics in 1 + 1 dimensions. Recently, it is greatly developed with the calculations of dynamical correlation functions. To evaluate more general ones, we may need to express the wave-functions of the excited states explicitly. In this no...
متن کاملSingular Vectors of W Algebras via Ds Reduction of A
The BRST quantisation of the Drinfeld-Sokolov reduction applied to the case of A (1) 2 is explored to construct in an unified and systematic way the general singular vectors in W 3 and W (2) 3 Verma modules. The construction relies on the use of proper quantum analogues of the classical DS gauge fixing transformations. Furthermore the stability groups W (η) of the highest weights of the W-Verma...
متن کاملDeformed WN algebras from elliptic sl(N) algebras
We extend to the sl(N) case the results that we previously obtained on the construction of Wq,p algebras from the elliptic algebra Aq,p(ŝl(2)c). The elliptic algebra Aq,p(ŝl(N)c) at the critical level c = −N has an extended center containing trace-like operators t(z). Families of Poisson structures indexed by N(N −1)/2 integers, defining q-deformations of the WN algebra, are constructed. The op...
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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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2018
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.5019278