Periodicity of Y-Systems and Flat Connections

Szenes, Andras

doi:10.1007/s11005-009-0332-5

Scientific article

English

Periodicity of Y-Systems and Flat Connections

ContributorsSzenes, Andras

Published inLetters in Mathematical Physics, vol. 89, no. 3, p. 217-230

Collection

Open Access - Licence nationale Springer

Publication date2009

Abstract

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.

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

SZENES, Andras. Periodicity of Y-Systems and Flat Connections. In: Letters in Mathematical Physics, 2009, vol. 89, n° 3, p. 217–230. doi: 10.1007/s11005-009-0332-5

Article (Published version)

Identifiers

PID : unige:115905
DOI : 10.1007/s11005-009-0332-5

Journal ISSN0377-9017

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Periodicity of Y-Systems and Flat Connections

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