Classical Wakimoto Realizations of Chiral WZNW Bloch Waves

Abstract

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.

arXiv comment13 pages, LaTeX

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Cited by in corpus (2)

• Dynamical r-matrices and the chiral WZNW phase space
• Minimal Factorization of Chern-Simons Theory -- Gravitational Anyonic Edge Modes