Skip navigation
Skip navigation

Stochastic R matrix for Uq(An(¹))

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

Description

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
URI: http://hdl.handle.net/1885/110178
Source: Nuclear Physics B
DOI: 10.1016/j.nuclphysb.2016.09.016

Download

File Description SizeFormat Image
01_Kuniba_Stochastic_R_matrix_for_2016.pdf480.65 kBAdobe PDFThumbnail


This item is licensed under a Creative Commons License Creative Commons

Updated:  20 July 2017/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator