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

被引:172
作者
FEIGIN, B
FRENKEL, E
机构
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 1992年 / 7卷
关键词
D O I
10.1142/S0217751X92003781
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
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.
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页码:197 / 215
页数:19
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