Explicit field realizations ofWalgebras
نویسندگان
چکیده
منابع مشابه
Explicit field realizations of W algebras
The fact that certain non-linear W2,s algebras can be linearized by the inclusion of a spin-1 current can provides a simple way to realize W2,s algebras from linear W1,2,s algebras. In this paper, we first construct the explicit field realizations of linear W1,2,s algebras with double scalar fields and spinor fields respectively. Then, after a basis inverting, the realizations of W2,s algebras ...
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A generalized Wakimoto realization of ĜK can be associated with each parabolic subalgebra P = (G0 + G+) of a simple Lie algebra G according to an earlier proposal by Feigin and Frenkel. In this paper the proposal is made explicit by developing the construction of Wakimoto realizations from a simple but unconventional viewpoint. An explicit formula is derived for the Wakimoto current first at th...
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It is known from a work of Feigin and Frenkel that a Wakimoto type, generalized free field realization of the current algebra Ĝk can be associated with each parabolic subalgebra P = (G0+G+) of the Lie algebra G, where in the standard case G0 is the Cartan and P is the Borel subalgebra. In this letter we obtain an explicit formula for the Wakimoto realization in the general case. Using Hamiltoni...
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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...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2009
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.79.126011