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Stochastic R matrix for U-q(A(n)((1)))

Kuniba, Atsuo; Mangazeev, Vladimir; Maruyama, S; Okado, Masato

Description

We show that the quantum R matrix for symmetric tensor representations of View the MathML sourceUq(An(1)) satisfies the sum rule required for its stochastic interpretation under a suitable gauge. Its matrix elements at a special point of the spectral parameter are found to factorize into the form that naturally extends Povolotsky's local transition rate in the q -Hahn process for n=1n=1. Based on these results we formulate new discrete and continuous time integrable Markov processes on a...[Show more]

CollectionsANU Research Publications
Date published: 2016
Type: Journal article
URI: http://hdl.handle.net/1885/152764
Source: Nuclear Physics B
DOI: 10.1016/j.nuclphysb.2016.09.016
Access Rights: Open Access

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