Factorization of rational six vertex model partition functions
We show factorization formulas for a class of partition functions of rational six vertex model. First we show factorization formulas for partition functions under triangular boundary. Further, by combining the factorization formulas with the explicit forms of the generalized domain wall boundary par...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-12-01
|
| Series: | Nuclear Physics B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321324003092 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850168446112759808 |
|---|---|
| author | Kohei Motegi |
| author_facet | Kohei Motegi |
| author_sort | Kohei Motegi |
| collection | DOAJ |
| description | We show factorization formulas for a class of partition functions of rational six vertex model. First we show factorization formulas for partition functions under triangular boundary. Further, by combining the factorization formulas with the explicit forms of the generalized domain wall boundary partition functions by Belliard-Pimenta-Slavnov, we derive factorization formulas for partition functions under trapezoid boundary which can be viewed as a generalization of triangular boundary. We also discuss an application to emptiness formation probabilities under trapezoid boundary which admit determinant representations. |
| format | Article |
| id | doaj-art-140148ef3d0847b39f556240d2c562d4 |
| institution | OA Journals |
| issn | 0550-3213 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-140148ef3d0847b39f556240d2c562d42025-08-20T02:20:58ZengElsevierNuclear Physics B0550-32132024-12-01100911674310.1016/j.nuclphysb.2024.116743Factorization of rational six vertex model partition functionsKohei Motegi0Faculty of Marine Technology, Tokyo University of Marine Science and Technology, Etchujima 2-1-6, Koto-Ku, Tokyo, 135-8533, JapanWe show factorization formulas for a class of partition functions of rational six vertex model. First we show factorization formulas for partition functions under triangular boundary. Further, by combining the factorization formulas with the explicit forms of the generalized domain wall boundary partition functions by Belliard-Pimenta-Slavnov, we derive factorization formulas for partition functions under trapezoid boundary which can be viewed as a generalization of triangular boundary. We also discuss an application to emptiness formation probabilities under trapezoid boundary which admit determinant representations.http://www.sciencedirect.com/science/article/pii/S0550321324003092Six vertex modelPartition functionsYang-Baxter equation |
| spellingShingle | Kohei Motegi Factorization of rational six vertex model partition functions Nuclear Physics B Six vertex model Partition functions Yang-Baxter equation |
| title | Factorization of rational six vertex model partition functions |
| title_full | Factorization of rational six vertex model partition functions |
| title_fullStr | Factorization of rational six vertex model partition functions |
| title_full_unstemmed | Factorization of rational six vertex model partition functions |
| title_short | Factorization of rational six vertex model partition functions |
| title_sort | factorization of rational six vertex model partition functions |
| topic | Six vertex model Partition functions Yang-Baxter equation |
| url | http://www.sciencedirect.com/science/article/pii/S0550321324003092 |
| work_keys_str_mv | AT koheimotegi factorizationofrationalsixvertexmodelpartitionfunctions |