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arXiv · 0902.0447

Langlands duality for finite-dimensional representations of quantum affine algebras

Edward Frenkel·David Hernandez
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Abstract

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 q-alg/9708006 and 0809.4453. 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.

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Edward Frenkel, David Hernandez. 2011-03-05. Langlands duality for finite-dimensional representations of quantum affine algebras. https://doi.org/10.1007/s11005-010-0426-0

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