Higher spin polynomial solutions of quantum Knizhnik--Zamolodchikov equation

Autor:	Fonseca, T., Zinn-Justin, P.
Rok vydání:	2012
Předmět:	Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	We provide explicit formulae for highest-weight to highest-weight correlation functions of perfect vertex operators of $U_q(\hat{\mathfrak{sl}(2)})$ at arbitrary integer level $\ell$. They are given in terms of certain Macdonald polynomials. We apply this construction to the computation of the ground state of higher spin vertex models, spin chains (spin $\ell/2$ XXZ) or loop models in the root of unity case $q=-e^{-i\pi/(\ell+2)}$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1212.4672 Zobrazit plný text záznamu View this record from Arxiv