Open boundary quantum Knizhnik-Zamolodchikov equation and the weighted enumeration of plane partitions with symmetries

被引：11
|
作者：
Di Francesco, P. [1 ]
机构：
[1] CEA, Serv Phys Theor Saclay, CNRS, SPhT,URA 2306,DSM, F-91191 Gif Sur Yvette, France
来源：
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2007年
关键词：
algebraic structures of integrable models; loop models and polymers; topology and combinatorics;
D O I：
10.1088/1742-5468/2007/01/P01024
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We propose new conjectures relating sum rules for the polynomial solution of the qKZ equation with open ( reflecting) boundaries as a function of the quantum parameter q and the tau-enumeration of plane partitions with specific symmetries, with tau = -( q + q(-1)). We also find a conjectural relation a la Razumov-Stroganov between the tau -> 0 limit of the qKZ solution and refined numbers of totally symmetric self-complementary plane partitions.
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页数：22
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