-Algebras and Their Free Field Realizations
نویسندگان
چکیده
The V -algebras are the non-local matrix generalization of the well-known W -algebras. Their classical realizations are given by the second Poisson brackets associated with the matrix pseudodifferential operators. In this paper, by using the general Miura transformation, we give the decomposition theorems for the second Poisson brackets, from which we are able to construct the free field realizations for a class of V -algebras including V(2k,2)-algebras that corresponds to the Lie algebra of Ck-type as the particular examples. The reduction of our discussion to the scalar case provides the similar result for the WBKP-algebra.
منابع مشابه
Explicit description of twisted Wakimoto realizations of affine Lie algebras
In a vertex algebraic framework, we present an explicit description of the twisted Wakimoto realizations of the affine Lie algebras in correspondence with an arbitrary finite order automorphism and a compatible integral gradation of a complex simple Lie algebra. This yields generalized free field realizations of the twisted and untwisted affine Lie algebras in any gradation. The free field form...
متن کاملMany Boson Realizations of Universal Nonlinear W∞-Algebras, Modified KP Hierarchies and Graded Lie Algebras
An infinite number of free field realizations of the universal nonlinear Ŵ (N) ∞ (Ŵ (N) 1+∞) algebras, which are identical to the KP Hamiltonian structures, are obtained in terms of p plus q scalars of different signatures with p − q = N . They are generalizations of the Miura transformation, and naturally give rise to the modified KP hierarchies via corresponding realizations of the latter. Th...
متن کاملExtended Superconformal Algebras and Free Field Realizations from Hamiltonian Reduction
We develop the method of the hamiltonian reduction of affine Lie superal-gebras to obtain explicit and general expressions both for the classical and the quantum extended superconformal algebras. By performing the gauge transformation which connects the diagonal gauge with the Drinfeld-Sokolov gauge and considering the quantum corrections, we get generic expressions for the classical and quantu...
متن کاملA ug 1 99 7 Nonlocal extended conformal algebras associated with multi - constraint KP hierarchy and their free - field realizations
We study the conformal properties of the multi-constraint KP hierarchy and its nonstandard partner by covariantizing their corresponding Lax operators. The associated second Hamiltonian structures turn out to be nonlocal extension of Wn algebra by some integer or half-integer spin fields depending on the order of the Lax operators. In particular, we show that the complicated second Hamiltonian ...
متن کاملFree Field Realizations of Affine Current Superalgebras, Screening Currents and Primary Fields
In this paper free field realizations of affine current superalgebras are considered. Based on quantizing differential operator realizations of the corresponding basic Lie superalgebras, general and simple expressions for both the bosonic and the fermionic currents are provided. Screening currents of the first kind are also presented. Finally, explicit free field realizations of primary fields ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1997