32 citations · 100 across the 7 of their papers we have counts for
7 papers
Discrete holomorphicity and quantized affine algebras
Y. Ikhlef, R. Weston, M. Wheeler +1
We consider non-local currents in the context of quantized affine algebras, following the construction introduced by Bernard and Felder. In the case of and $U_q(A_…
Sum rule for the eight-vertex model on its combinatorial line
P. Zinn-Justin
We investigate the conjectured ground state eigenvector of the 8-vertex model inhomogeneous transfer matrix on its combinatorial line, i.e., at , where it acquires a particu…
Loop models, random matrices and planar algebras
A. Guionnet, V. F. R. Jones, D. Shlyakhtenko +1
We define matrix models that converge to the generating functions of a wide variety of loop models with fugacity taken in sets with an accumulation point. The latter can also be se…
Polynomial solutions of qKZ equation and ground state of XXZ spin chain at Delta = -1/2
A. V. Razumov, Yu. G. Stroganov, P. Zinn-Justin
Integral formulae for polynomial solutions of the quantum Knizhnik-Zamolodchikov equations associated with the R-matrix of the six-vertex model are considered. It is proved that wh…
Loop model with mixed boundary conditions, qKZ equation and alternating sign matrices
P. Zinn-Justin
The integrable loop model with mixed boundary conditions based on the 1-boundary extended Temperley--Lieb algebra with loop weight 1 is considered. The corresponding qKZ equation i…
The General O(n) Quartic Matrix Model and its application to Counting Tangles and Links
P. Zinn-Justin
The counting of alternating tangles in terms of their crossing number, number of external legs and connected components is presented here in a unified framework using quantum field…