Localization of free field realizations of affine Lie algebras

Published 28 Apr 2014 in math.RT | (1404.7148v2)

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.

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