School Seminars and Colloquia

A spin-1 loop correlator and its relation to the 2-dimensional symplectic Toda lattice

Tuesday Seminar

by Jan de Gier

Institution: Mathematics and Statistics Dept. The University of Melbourne
Date: Tue 13th October 2009
Time: 1:00 PM
Location: Room 107, Richard Berry Building, The University of Melbourne

Abstract: I will present some details about work in progress with Bernard Nienhuis and Anita Ponsaing about the exact calculation of a spin-1boundary-boundary loop correlation function in the O(n=1) model.
We are close to proving a conjectured exact expression, but are not quite there yet. Quite surprisingly, the final result is expressed as a derivative of a solution to the 2-dimensional symplectic Toda lattice, and a proof would thus lead to a seemingly new connection between solvable lattice models and classical integrable models.

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