Loop models, random matrices and planar algebras

Details Loop models, random matrices and planar algebras Loop models, random matrices and planar algebras

2010-12-03

arxiv.org/abs/1012.0619v1

Mathematics

Operator Algebras

Scientific paper

We define matrix models that converge to the generating functions of a wide
variety of loop models with fugacity taken in sets with an accumulation point.
The latter can also be seen as moments of a non-commutative law on a subfactor
planar algebra. We apply this construction to compute the generating functions
of the Potts model on a random planar map.

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