AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS-Reference-Cited by-同舟云学术

AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS

Published:1992-04 Issue:supp01a Volume:07 Page:197-215
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

FEIGIN BORIS¹,FRENKEL EDWARD²

Affiliation:

1. Landau Institute for Theoretical Physics, Moscow, USSR

2. Department of Mathematics, Harvard University, Cambridge, MA 02138, USA

Abstract

We prove Drinfeld's conjecture that the center of a certain completion of the universal enveloping algebra of an affine Kac-Moody algebra at the critical level is isomorphic to the Gelfand-Dikii algebra, associated to the Langlands dual algebra. The center is identified with a limit of the W-algebra, defined by means of the quantum Drinfeld-Sokolov reduction.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X92003781

Cited by 165 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Gaudin model and Deligne’s category;Letters in Mathematical Physics;2023-12-19

2. A Feigin-Frenkel theorem with n singularities;Advances in Mathematics;2023-12

3. Hecke operators and analytic Langlands correspondence for curves over local fields;Duke Mathematical Journal;2023-08-15

4. What is a Lattice W-Algebra?;International Mathematics Research Notices;2023-07-13

5. Monopole operators and bulk-boundary relation in holomorphic topological theories;SciPost Physics;2023-06-13