A h̄-deformation of the WN algebra and its vertex operators
نویسندگان
چکیده
In this paper,we derive a h̄-deformation of the WN algebra and its quantum Miura tranformation.The vertex operators for this h̄-deformed WN algebra and its commutation relations are also obtained.
منابع مشابه
The elliptic algebra Uq,p( ̂ slN ) and the deformation of the WN algebra
After reviewing the recent results on the Drinfeld realization of the face type elliptic quantum group Bq,λ(ŝlN ) by the elliptic algebra Uq,p(ŝlN ), we investigate a fusion of the vertex operators of Uq,p(ŝlN ). The basic generating functions Λj(z) (1 ≤ j ≤ N − 1) of the deformed WN algebra are derived explicitly.
متن کاملA h̄-deformed Virasoro Algebra as Hidden Symmetry of the Restricted sine-Gordon Model
As the Yangian double with center,which is deformed from affine algebra by the additive loop parameter h̄ ,we get the commuting relation and the bosonization of quantum h̄-deformed Virasoro algebra. The corresponding Miura transformation , associated screening operators and the BRST charge have been studied.Morever, we also constructe the bosonization for type I and type II intertwiner vertex ope...
متن کاملThe elliptic quantum algebra Uq,p(ŝlN) and its vertex operators
We construct a realization of the elliptic quantum algebra Uq,p(ŝlN) for any given level k in terms of free boson fields and their twisted partners. It can be considered as the elliptic deformation of the Wakimoto realization of the quantum affine algebra Uq(ŝlN). We also construct a family of screening currents, which commute with the currents of Uq,p(ŝlN) up to total q-differences. And we giv...
متن کاملInstitute for Solid State Physics,
We review the WN algebra and its quantum deformation, based on free field realizations. The (quantum deformed) WN algebra is defined through the (quantum deformed) Miura transformation, and its singular vectors realize the Jack (Macdonald) polynomials.
متن کاملQuantum Deformation of the WN
We review the W N algebra and its quantum deformation, based on free eld re-alizations. The (quantum deformed) W N algebra is deened through the (quantum deformed) Miura transformation, and its singular vectors realize the Jack (Macdon-ald) polynomials.
متن کامل