Classical Wakimoto Realizations of Chiral WZNW Bloch Waves
نویسنده
چکیده
It is well-known that the chiral WZNW Bloch waves satisfy a quadratic classical exchange algebra which implies the affine Kac-Moody algebra for the corresponding currents. We here obtain a direct derivation of the exchange algebra by inverting the symplectic form on the space of Bloch waves, and give a completely algorithmic construction of its generalized free field realizations that extend the classical Wakimoto realizations of the current algebra. PACS codes: 11.25.Hf, 11.10.Kk, 11.30.Na keywords: WZNW model, exchange algebra, Wakimoto realizations ∗ Corresponding author’s e-mail: [email protected], phone/fax: (+36) 62 544 368.
منابع مشابه
/ 98 08 09 6 v 2 1 9 O ct 1 99 9 Wakimoto realizations of current and exchange algebras ∗
Working at the level of Poisson brackets, we describe the extension of the generalized Wakimoto realization of a simple Lie algebra valued current, J, to a corresponding realization of a group valued chiral primary field, b, that has diagonal monodromy and satisfies Kb ′ = Jb. The chiral WZNW field b is subject to a monodromy dependent exchange algebra, whose derivation is reviewed, too.
متن کاملar X iv : h ep - t h / 98 08 09 6 v 1 1 7 A ug 1 99 8 Wakimoto realizations of current and exchange algebras ∗
Working at the level of Poisson brackets, we describe the extension of the generalized Wakimoto realization of a simple Lie algebra valued current, J, to a corresponding realization of a group valued chiral primary field, b, that has diagonal monodromy and satisfies Kb ′ = Jb. The chiral WZNW field b is subject to a monodromy dependent exchange algebra, whose derivation is reviewed, too.
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