School Seminars and Colloquia

Correspondence between the phase model and the 2-Toda hierarchy

Tuesday Seminar

by Matthew Zuparic


Institution: Mathematics and Statistics Dept, The University of Melbourne
Date: Tue 30th June 2009
Time: 1:00 PM
Location: Room 107, Richard Berry Building, The University of Melbourne

Abstract: Recently in collaboration with O.Foda and M. Wheeler, a
series of papers were released which explored the correspondence between
the quantum six vertex lattice model and the classical KP hierarchy
of exactly solvable non linear partial differential equations. In the
present talk I shall introduce another quantum lattice model - classical
hierarchy correspondence; that between the phase model and the 2-Toda
hierarchy. Specifically, we shall show that the tau-function and the
wave-functions of the hierarchy are equal to the scalar product and the boundary correlation
functions of the model respectively.

For More Information: contact: Chris Ormerod. email: c.ormerod@ms.unimelb.edu.au