Higher rank elliptic partition functions and multisymmetric elliptic functions

We introduce and investigate a class of glM+1 partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition functions by a nested version of Izergin-Korepin analysis, and determine the explicit forms, for each of the rational, trigonometric and ellipti...

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Bibliographic Details
Main Authors: Allan John Gerrard, Kohei Motegi, Kazumitsu Sakai
Format: Article
Language:English
Published: Elsevier 2025-02-01
Series:Nuclear Physics B
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Online Access:http://www.sciencedirect.com/science/article/pii/S055032132500015X
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Summary:We introduce and investigate a class of glM+1 partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition functions by a nested version of Izergin-Korepin analysis, and determine the explicit forms, for each of the rational, trigonometric and elliptic versions. The resulting multisymmetric functions can be regarded as extensions of the rational, trigonometric and elliptic weight functions.
ISSN:0550-3213