An analog of the Feigin-Frenkel homomorphism for double loop algebras

We prove the existence of a homomorphism of vertex algebras, from the vacuum Verma module over the loop algebra of an untwisted affine algebra, whose construction is analogous to that of the Feigin-Frenkel homomorphism from the vacuum Verma module at critical level over an affine algebra.

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Bibliographic Details
Main Author Young, Charles A. S
Format Journal Article
LanguageEnglish
Published 03.11.2020
Subjects
Mathematics - Quantum Algebra
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Summary:We prove the existence of a homomorphism of vertex algebras, from the vacuum Verma module over the loop algebra of an untwisted affine algebra, whose construction is analogous to that of the Feigin-Frenkel homomorphism from the vacuum Verma module at critical level over an affine algebra.
DOI:10.48550/arxiv.2011.01648