Localization of Free Field Realizations of Affine Lie Algebras

@article{Futorny2014LocalizationOF,
  title={Localization of Free Field Realizations of Affine Lie Algebras},
  author={Vyacheslav Futorny and Dimitar Grantcharov and Renato A. Martins},
  journal={Letters in Mathematical Physics},
  year={2014},
  volume={105},
  pages={483-502}
}
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 $${A_{1}^{(1)}}$$A1(1) or, equivalently, to imaginary Verma modules. 
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5 Citations

5 Citations

Localization of highest weight modules of a class of extended affine Lie algebras
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. We develop a general technique of constructing new irreducible weight modules for any affine Kac-Moody algebra using the parabolic induction, in the case when the Levi factor of a parabolic…
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