Open boundary Quantum Knizhnik-Zamolodchikov equation and the weighted enumeration of Plane Partitions with symmetries
Di Francesco, P.
Original · EN
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 τ-enumeration of Plane Partitions with specific symmetries, with τ=-(q+q⁻¹). We also find a conjectural relation à la Razumov-Stroganov between the τ→ 0 limit of the qKZ solution and refined numbers of Totally Symmetric Self Complementary Plane Partitions.
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