Vertex models, TASEP and Grothendieck polynomials

K Motegi, K Sakai - Journal of Physics A: Mathematical and …, 2013 - iopscience.iop.org
We examine the wavefunctions and their scalar products of a one-parameter family of
integrable five-vertex models. At a special point of the parameter, the model investigated is …

Three-point function of semiclassical states at weak coupling

I Kostov - Journal of Physics A: Mathematical and Theoretical, 2012 - iopscience.iop.org
Three-point function of semiclassical states at weak coupling - IOPscience Skip to content
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Classical Limit of the Three-Point Function of Supersymmetric Yang-Mills <?format ?>Theory from Integrability

I Kostov - Physical Review Letters, 2012 - APS
We give an analytic expression for the correlation function of three large classical
nonprotected operators in N= 4 super-Yang-Mills theory at weak coupling. We restrict …

Partial domain wall partition functions

O Foda, M Wheeler - Journal of High Energy Physics, 2012 - Springer
A bstract We 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 …

SYM structure constants as determinants

O Foda - Journal of High Energy Physics, 2012 - Springer
JHEP03(2012)096 Page 1 JHEP03(2012)096 Published for SISSA by Springer Received:
November 20, 2011 Accepted: March 6, 2012 Published: March 29, 2012 V = 4 SYM structure …

Symmetric functions and wavefunctions of XXZ-type six-vertex models and elliptic Felderhof models by Izergin–Korepin analysis

K Motegi - Journal of Mathematical Physics, 2018 - pubs.aip.org
We present a method to analyze the wavefunctions of six-vertex models by extending the
Izergin–Korepin analysis originally developed for domain wall boundary partition functions …

Scalar Products in Generalized Models with SU(3)-Symmetry

M Wheeler - Communications in Mathematical Physics, 2014 - Springer
We consider a generalized model with SU (3)-invariant R-matrix, and review the nested
Bethe Ansatz for constructing eigenvectors of the transfer matrix. A sum formula for the …

[HTML][HTML] Higher rank elliptic partition functions and multisymmetric elliptic functions

AJ Gerrard, K Motegi, K Sakai - Nuclear Physics B, 2025 - Elsevier
We introduce and investigate a class of gl M+ 1 partition functions which is an extension of
the one introduced by Foda-Manabe. We characterize the partition functions by a nested …

A note on the eigenvectors of long-range spin chains and their scalar products

D Serban - Journal of High Energy Physics, 2013 - Springer
A bstract In this note, we propose an expression for the eigenvectors and scalar products for
a class of spin chains with long-range interaction and su (2) symmetry. This class includes …

Variations on Slavnov's scalar product

O Foda, M Wheeler - Journal of High Energy Physics, 2012 - Springer
A bstract We 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 …