Localization of free field realizations of affine Lie algebras
arXiv:1404.7148 · doi:10.1007/s11005-015-0752-3
Abstract
We use localization technique to construct new families of irreducible modules of affine Kac-Moody algebras. In particular, localization is applied to the first free field realization of the affine Lie algebra A_1^{(1)} or, equivalently, to imaginary Verma modules.
18 pages, minor changes made, to appear in Lett. Math. Phys