activity
20162026
most citedIrregular conformal blocks and connection formulae for Painlevé V functions

47 citations · 78 across the 12 of their papers we have counts for

collaborators

12 papers

hep-th2026★ 2 cited

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…

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.CA2024

Semiclassical limit of a non-polynomial -Askey scheme

Jonatan Lenells, Julien Roussillon

We prove a semiclassical asymptotic formula for the two elements and lying at the bottom of the recently constructed non-polynomial hyperbolic -Askey s…

hep-th2024★ 4 cited

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…

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…