1999/10/15 by J. Balog, L. Feher, L. Palla · 1 citation
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.1088/0305-4470/33/5/310
published as J.Phys.A33:945-956,2000 · 13 pages, LaTeX
arxiv created 1999/10/15 · arxiv updated 2009/11/30
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.