Higher Spin Polynomial Solutions of Quantum Knizhnik-Zamolodchikov Equation

被引：6
|
作者：
Fonseca, Tiago [1 ]
Zinn-Justin, Paul [2 ]
机构：
[1] Univ Savoie, CNRS, UMR 5108, LAPTh, F-74941 Annecy Le Vieux, France
[2] Univ Paris 06, CNRS, UMR 7589, LPTHE, F-75252 Paris, France
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2014年 / 328卷 / 03期
基金：
欧洲研究理事会;
关键词：
DIFFERENCE-EQUATIONS; VERTEX OPERATORS; FIELD-THEORY; DIMENSIONS; MODELS; ALGEBRA; REPRESENTATIONS; SUPERSYMMETRY; LATTICE;
D O I：
10.1007/s00220-014-1963-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We provide explicit formulae for highest-weight to highest-weight correlation functions of perfect vertex operators of in arbitrary integer level a"". 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 a""/2 XXZ) or loop models in the root of unity case q = -e(-i pi/(l+2)).
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页码：1079 / 1115
页数：37
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