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Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models
Partition functions of critical 2D models on a torus can be derived from their microscopic formulation and their free field representation in the continuum limit. This is worked out explicitly for
The blob algebra and the periodic Temperley-Lieb algebra
We determine the structure of two variations on the Temperley-Lieb algebra, both used for dealing with special kinds of boundary conditions in statistical mechanics models. The first is a new
On an algebraic approach to higher dimensional statistical mechanics
AbstractWe study representations of Temperley-Lieb algebras associated with the transfer matrix formulation of statistical mechanics on arbitrary lattices. We first discuss a new hyperfinite algebra,