Domain wall partition functions and KP

Baxter R J; Hirota R; Izergin A G; Kitanine N Kozlowski K K Maillet J M Slavnov N A Terras V; Kitanine N Maillet J M Slavnov N A Terras V; Korepin V E; Lascoux A; M Wheeler; M Zuparic; Macdonald I G; Miwa T; O Foda

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Domain wall partition functions and KP

Authors: Baxter R J
Hirota R
Izergin A G
Kitanine N Kozlowski K K Maillet J M Slavnov N A Terras V
Kitanine N Maillet J M Slavnov N A Terras V
Korepin V E
Lascoux A
M Wheeler
M Zuparic
Macdonald I G
Miwa T
O Foda
Publication date: 15 January 2009
Publisher: 'IOP Publishing'
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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 tau function and express it as an expectation value of charged free fermions (up to an overall normalization).Comment: 16 pages, LaTeX2

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