Randomized box–ball systems, limit shape of rigged configurations and thermodynamic Bethe ansatz

We introduce a probability distribution on the set of states in a generalized box–ball system associated with Kirillov–Reshetikhin (KR) crystals of type An(1). Their conserved quantities induce n-tuple of random Young diagrams in the rigged configurations. We determine their limit shape as the syste...

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Bibliographic Details
Main Authors: Atsuo Kuniba, Hanbaek Lyu, Masato Okado
Format: Article
Language:English
Published: Elsevier 2018-12-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S055032131830289X