Classical Wakimoto Realizations of Chiral WZNW Bloch Waves
High Energy Physics - Theory
2008-11-26 v1 Mathematical Physics
math.MP
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.hep-th/9910112,
title = {Classical Wakimoto Realizations of Chiral WZNW Bloch Waves},
author = {J. Balog and L. Feher and L. Palla},
journal= {arXiv preprint arXiv:hep-th/9910112},
year = {2008}
}
Comments
13 pages, LaTeX