Stable Rigged Configurations for Quantum Affine Algebras of Nonexceptional Types

Abstract

For an affine algebra of nonexceptional type in the large rank we show the fermionic formula depends only on the attachment of the node 0 of the Dynkin diagram to the rest, and the fermionic formula of not type A can be expressed as a sum of that of type A with Littlewood-Richardson coefficients. Combining this result with math.CO/9901037 and arXiv:1002.3715 we settle the X=M conjecture under the large rank hypothesis.

30 pages, minor revision, final version

References in corpus (5)

• Existence of Kirillov-Reshetikhin crystals for nonexceptional types
• Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection
• X=M for symmetric powers
• Tau functions in combinatorial Bethe ansatz
• On the X=M=K Conjecture

Cited by in corpus (3)

• Affine crystal structure on rigged configurations of type D_n^(1)
• Rigged Configurations and Kashiwara Operators
• Fusion products of Kirillov-Reshetikhin modules and the X = M conjecture