Higher rank elliptic partition functions and multisymmetric elliptic functions

Allan John Gerrard; Kohei Motegi; Kazumitsu Sakai

doi:10.1016/j.nuclphysb.2025.116805

Higher rank elliptic partition functions and multisymmetric elliptic functions

Allan John Gerrard
, Kohei Motegi
, Kazumitsu Sakai

Department of Physics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We introduce and investigate a class of gl_M+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.

Original language	English
Article number	116805
Journal	Nuclear Physics B
Volume	1011
DOIs	https://doi.org/10.1016/j.nuclphysb.2025.116805
Publication status	Published - Feb 2025

Keywords

Elliptic weight function
Integrable lattice model
Izergin-Korepin analysis
Nested Bethe wavefunction
Partition function

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10.1016/j.nuclphysb.2025.116805

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title = "Higher rank elliptic partition functions and multisymmetric elliptic functions",

abstract = "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.",

keywords = "Elliptic weight function, Integrable lattice model, Izergin-Korepin analysis, Nested Bethe wavefunction, Partition function",

author = "Gerrard, \{Allan John\} and Kohei Motegi and Kazumitsu Sakai",

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doi = "10.1016/j.nuclphysb.2025.116805",

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T1 - Higher rank elliptic partition functions and multisymmetric elliptic functions

AU - Gerrard, Allan John

AU - Motegi, Kohei

AU - Sakai, Kazumitsu

PY - 2025/2

Y1 - 2025/2

N2 - 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.

AB - 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.

KW - Elliptic weight function

KW - Integrable lattice model

KW - Izergin-Korepin analysis

KW - Nested Bethe wavefunction

KW - Partition function

UR - https://www.scopus.com/pages/publications/85215849868

U2 - 10.1016/j.nuclphysb.2025.116805

DO - 10.1016/j.nuclphysb.2025.116805

M3 - Article

AN - SCOPUS:85215849868

SN - 0550-3213

VL - 1011

JO - Nuclear Physics B

JF - Nuclear Physics B

M1 - 116805

ER -

Higher rank elliptic partition functions and multisymmetric elliptic functions

Abstract

Keywords

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