8 September 2011

A diagrammatic representation of the \(sl(n)\) \(F\)-matrix (presentation)

Abstract: I will describe diagrammatic tensor notation and introduce factorizing \(F\)-matrices. I will then present a diagrammatic representation of the factorizing \(F\)-matrix of Albert, Boos, Flume and Ruhlig, for the quantum spin chain with \(sl(n)\) symmetry. This representation uses partial \(F\)-matrices, as in the construction of the \(sl(2)\) factorizing \(F\)-matrix by Maillet and Sanchez de Santos, and leads to an easy proof of the factorizing property.

(Presentation given at Correlation Functions of Quantum Integrable Models on Thursday, 8 September 2011, Dijon, France)