The University of Queensland
 
 
Centre for Mathematical Physics
 
SEMINAR
 
 
Speaker:     Prof. Rafael Nepomechie, Department of Physics,
University of Miami
 
 
Title:           Exact solution of the open XXZ chain with general integrable boundary terms at roots of unity
 
11.00am Thursday, 4th January 2007
 
Priestley  Blding, room 641
 
 
Abstract:
 
The open XXZ chain with general integrable boundary terms is a fundamental integrable model.  However, for general values of the boundary parameters 
(six altogether, three for each boundary), a Bethe Ansatz solution is  not known, due mainly to the difficulty in constructing a pseudovacuum.  In this talk I describe 
a solution of this model when the bulk anisotropy parameter takes values corresponding to roots of unity, in which case the transfer matrix obeys a functional 
equation of finite order.  An unusual feature of this solution is that it involves multiple Q functions.  I then use this solution, together with a certain string hypothesis, 
to compute the boundary energy.
 
All interested are invited to attend.  

Enquiries to Katrina Hibberd, email: keh@maths.uq.edu.au