# A diagrammatic representation of the $$sl(n) F$$-matrix

#### by Steve McAteer

Institution:
Date: Tue 11th October 2011
Time: 1:00 PM
Location: Room 215, Richard Berry Building

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.

This is a repeat of my presentation from Correlation Functions of Quantum Integrable Models.