On some ground state components of the O(1) loop model

Details On some ground state components of the O(1) loop model On some ground state components of the O(1) loop model

2009-01-12

arxiv.org/abs/0901.1679v4

Physics

Mathematical Physics

v4: fixed problem with refs appearing as ?

Scientific paper

10.1088/1742-5468/2009/03/P03025

We address a number of conjectures about the ground state O(1) loop model,
computing in particular two infinite series of partial sums of its entries and
relating them to the enumeration of plane partitions. Our main tool is the use
of integral formulae for a polynomial solution of the quantum
Knizhnik-Zamolodchikov equation.

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