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math-ph2024
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…
math-ph2024
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 …
math-ph2024
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…