5 papers
On the Virasoro Crossing Kernels at Rational Central Charge
Julien Roussillon, Ioannis Tsiares
We report novel analytic results for the Virasoro modular and fusion kernels relevant to 2d conformal field theories (CFTs), 3d topological field theories (TQFTs), and the represen…
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…
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 …
On the Virasoro fusion and modular kernels at any irrational central charge
Julien Roussillon
We propose a series representation for the Virasoro fusion and modular kernels at any irrational central charge. Two distinct, yet closely related formulas are needed for the cases…