Periodicity of Y-Systems and Flat Connections

Periodicity of Y-Systems and Flat Connections

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-diagona...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Letters in mathematical physics 2009-09, Vol.89 (3), p.217-230
1. Verfasser: Szenes, András
Format: Artikel
Sprache:eng
Schlagworte:
Complex Systems
Geometry
Group Theory and Generalizations
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0377-9017
1573-0530
DOI:10.1007/s11005-009-0332-5