Journal article
Domain wall partition functions and KP
O Foda, M Wheeler, M Zuparic
Journal of Statistical Mechanics Theory and Experiment | Published : 2009
Abstract
We observe that the partition function of the six-vertex model on a finite square lattice with domain wall boundary conditions is (a restriction of) a KP τ function and express it as an expectation value of charged free fermions (up to an overall normalization). © 2009 IOP Publishing Ltd. and SISSA.
Grants
Funding Acknowledgements
We thank Professors M Jimbo, N Kitanine and P Zinn-Justin for useful remarks on the subject of this work and related topics. MW and MZ are supported by Australian Postgraduate Awards and the Department of Mathematics and Statistics, The University of Melbourne.