Dimers, domain walls and the quantum Horn conjecture

Christian Korff (University of Glasgow)

Tuesday 14th February, 2017 16:00-17:00 Maths 516


Starting from the problem of counting dimer configurations on the honeycomb lattice I construct solutions of the Yang-Baxter equation which are then used to define certain Yang-Baxter algebras. There is a known mapping from dimer configurations to domain walls (non-intersecting paths) in the triangular antiferromagnetic Ising model. Using the domain wall picture one can make contact with the Horn (Ex) Conjecture. Imposing periodic boundary conditions on the lattice this generalises to the quantum Horn problem.

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