47 citations · 78 across the 12 of their papers we have counts for
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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…
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…
The Virasoro fusion kernel and Ruijsenaars' hypergeometric function
Julien Roussillon
We show that the Virasoro fusion kernel is equal to Ruijsenaars' hypergeometric function up to normalization. More precisely, we prove that the Virasoro fusion kernel is a joint ei…
Confluent Conformal Blocks of the Second Kind
Jonatan Lenells, Julien Roussillon
We construct confluent conformal blocks of the second kind of the Virasoro algebra. We also construct the Stokes transformations which map such blocks in one Stokes sector to anoth…