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Stochastic R matrix for Uq(An(¹))

Kuniba, A.; Mangazeev, V.V.; Maruyama, S.; Okado, M.


We show that the quantum R matrix for symmetric tensor representations of Uq(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=1 . Based on these results we formulate new discrete and continuous time integrable Markov processes on a one-dimensional chain in terms...[Show more]

CollectionsANU Research Publications
Date published: 2016-11-04
Type: Journal article
Source: Nuclear Physics B
DOI: 10.1016/j.nuclphysb.2016.09.016
Access Rights: Open Access


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