9 citations · 12 across the 5 of their papers we have counts for
6 papers
Planar UST Branches and Degenerate Boundary Correlations
Alex Karrila, Augustin Lafay, Eveliina Peltola +1
We provide a conformal field theory (CFT) description of the probabilistic model of boundary effects in the wired uniform spanning tree (UST) and its algebraic content, concerning…
Fused Specht Polynomials and Degenerate Conformal Blocks
Augustin Lafay, Eveliina Peltola, Julien Roussillon
We introduce a class of polynomials that we call fused Specht polynomials and use them to characterize irreducible representations of the fused Hecke algebra with parameter …
Degenerate conformal blocks for the algebra at c=2 and connection probabilities in the triple dimer model
Augustin Lafay, Ian Le, Julien Roussillon
We study a homogeneous system of linear partial differential equations (PDEs) in variables arising from two-dimensional Conformal Field Theories (CFTs) with a -symme…
Integrability of rank-two web models
Augustin Lafay, Azat M. Gainutdinov, Jesper Lykke Jacobsen
We continue our work on lattice models of webs, which generalise the well-known loop models to allow for various kinds of bifurcations [arXiv:2101.00282, arXiv:2107.10106]. Here we…
web models: Locality, phase diagram and geometrical defects
Augustin Lafay, Azat M. Gainutdinov, Jesper Lykke Jacobsen
We continue investigating the generalisations of geometrical statistical models introduced in [13], in the form of models of webs on the hexagonal lattice H having a U_q(sl_n) quan…
web models and spin interfaces
Augustin Lafay, Azat M. Gainutdinov, Jesper Lykke Jacobsen
This is the first in a series of papers devoted to generalisations of statistical loop models. We define a lattice model of webs on the honeycomb lattice, fo…