The q-characters of representations of quantum affine algebras and deformations of W-algebras

Abstract

We propose the notion of q-characters for finite-dimensional representations of quantum affine algebras. It is motivated by our theory of deformed W-algebras. We show that the q-characters give rise to a homomorphism from the Grothendieck ring of representations of a quantum affine algebra to a polynomial ring. We conjecture that the image of this homomorphism is equal to the intersection of certain "screening operators". We also discuss the connection between q-characters and Bethe Ansatz.

47 pages, Latex2e

References in corpus (2)

• Deformations of W-algebras associated to simple Lie algebras
• Towards Deformed Chiral Algebras

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