Domain wall partition functions and KP

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).

16 pages, LaTeX2e

References in corpus (1)

• On the algebraic Bethe Ansatz approach to the correlation functions of the XXZ spin-1/2 Heisenberg chain

Cited by in corpus (13)

• Functional relations for the six vertex model with domain wall boundary conditions
• XXZ scalar products and KP
• A new representation for the partition function of the six vertex model with domain wall boundaries
• Two-dimensional Yang-Mills theory, Painleve equations and the six-vertex model
• KP and Toda tau functions in Bethe ansatz
• Symmetric functions and wavefunctions of the six-vertex model by Izergin-Korepin analysis
• Phase model expectation values and the 2-Toda hierarchy
• Twisted Heisenberg chain and the six-vertex model with DWBC
• Free fermions in classical and quantum integrable models
• The domain wall partition function for the Izergin-Korepin 19-vertex model at a root of unity
• Correlation functions of charged free boson and fermion systems
• Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functions
• On the Integrable Structure of Super Yang-Mills Scattering Amplitudes