Periodicity of Y-Systems and Flat Connections

被引：12

作者：

Andras Szenes ^{[1
,2
]}

机构：

[1] Budapest Inst Technol, Dept Geometry, Inst Math, H-1111 Budapest, Hungary

[2] Univ Geneva, Sect Math, CH-1211 Geneva, Switzerland

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2009年 / 89卷 / 03期

关键词：

Y-systems; cluster algebras; THERMODYNAMIC BETHE-ANSATZ; EQUATIONS; MODELS;

D O I：

10.1007/s11005-009-0332-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give a proof of the periodicity of Zamolodchikov's Y-system in the AxA case using an interpretation of the system as a condition of flatness of a certain graph connection. In our approach, the periodicity property appears as an identity among representations of a matrix as products of two-diagonal matrices.

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收藏

页码：217 / 230

页数：14

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