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

[摘要] 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. (C) 2021 Published by Elsevier Inc.

[发布日期] 2021-12-15

[关键词] Vertex algebra;Wakimoto construction;Feigin-Frenkel homomorphism