author={Omar Foda and Gus Schrader},
  journal={arXiv: Mathematical Physics},
We revisit the quantum/classical integrable model correspondence in the context of inhomogeneous finite length XXZ spin-1/2 chains with periodic boundary conditions and show that the Bethe scalar product of an arbitrary state and a Bethe eigenstate is a discrete KP tau-function. The continuous Miwa variables of discrete KP are the rapidities of the arbitrary state. 
Slavnov determinants, Yang-Mills structure constants, and discrete KP
Using Slavnov's scalar product of a Bethe eigenstate and a generic state in closed XXZ spin-1/2 chains, with possibly twisted boundary conditions, we obtain determinant expressions for tree-level
KP and Toda tau functions in Bethe ansatz
Recent work of Foda and his group on a connection between classical integrable hierarchies (the KP and 2D Toda hierarchies) and some quantum integrable systems (the 6-vertex model with DWBC, the
ABJM matrix model and 2D Toda lattice hierarchy
A bstractIt was known that one-point functions in the ABJM matrix model (obtained by applying the localization technique to one-point functions of the half-BPS Wilson loop operator in the ABJM
Three-point function of semiclassical states at weak coupling
We give the derivation of the previously announced analytic expression for the correlation function of three heavy non-BPS operators in super-Yang–Mills theory at weak coupling. The three operators
Variations on Slavnov’s scalar product
A bstractWe consider the rational six-vertex model on an L×L lattice with domain wall boundary conditions and restrict N parallel-line rapidities, N ≤ L/2, to satisfy length-L XXX $
A Pedagogical Introduction to the AGT Conjecture
The AGT conjecture is a natural identification between certain information-rich objects in 4d N = 2 supersymmetric gauge theories and Liouville conformal field theory. Though relatively easy to
Partial domain wall partition functions
A bstractWe consider six-vertex model configurations on an (n × N) lattice, n ≤ N, that satisfy a variation on domain wall boundary conditions that we define and call partial domain wall boundary
Inner products of Bethe states as partial domain wall partition functions
A bstractWe study the inner product of Bethe states in the inhomogeneous periodic XXX spin-1/2 chain of length L, which is given by the Slavnov determinant formula. We show that the inner product of


Algebraic analysis of solvable lattice models
Background of the problem The spin $1/2$ XXZ model for $\Delta <-1$ The six-vertex model in the anti-ferroelectric regime Solvability and symmetry Correlation functions-physical derivation Level one
Bethe Ansatz and Classical Hirota Equations
A brief non-technical review of the recent study of classical integrable structures in quantum integrable systems is given. It is explained how to identify the standard objects of quantum integrable
Quantum Inverse Scattering Method and Correlation Functions
One-dimensional Bose-gas One-dimensional Heisenberg magnet Massive Thirring model Classical r-matrix Fundamentals of inverse scattering method Algebraic Bethe ansatz Quantum field theory integral
Exactly Solved Models in Statistical Mechanics
R J Baxter 1982 London: Academic xii + 486 pp price £43.60 Over the past few years there has been a growing belief that all the twodimensional lattice statistical models will eventually be solved and
Symmetric functions and Hall polynomials
I. Symmetric functions II. Hall polynomials III. HallLittlewood symmetric functions IV. The characters of GLn over a finite field V. The Hecke ring of GLn over a finite field VI. Symmetric functions
Nonlinear Partial Differential Equations in Applied Science, Lecture Notes in Numerical and Applied Analysis
  • 1982
Bogoliubov and A G Izergin, Quantum inverse scattering method and correlation functions
  • 1993