Langlands Duality for Finite-Dimensional Representations of Quantum Affine Algebras

被引：16

作者：

Frenkel, Edward ^{[1
]}

Hernandez, David ^{[2
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[2] Univ Paris 07, Dept Math, F-75013 Paris, France

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2011年 / 96卷 / 1-3期

关键词：

Langlands duality; quantum affine algebras; Kirillov-Reshetikhin modules; Q-CHARACTERS; T-ANALOGS;

D O I：

10.1007/s11005-010-0426-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe a correspondence (or duality) between the q-characters of finite-dimensional representations of a quantum affine algebra and its Langlands dual in the spirit of Frenkel and Hernandez (Math Ann, to appear) and Frenkel and Reshetikhin (Commun Math Phys 197(1):1-32, 1998). We prove this duality for the Kirillov-Reshetikhin modules and their irreducible tensor products. In the course of the proof we introduce and construct "interpolating (q, t)-characters" depending on two parameters which interpolate between the q-characters of a quantum affine algebra and its Langlands dual.

引用

页码：217 / 261

页数：45

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