On the Virasoro fusion kernel at c=25
Abstract
We find a formula for the Virasoro fusion kernel at c=25, in terms of the connection coefficients of the Painlev\'e VI differential equation. Our formula agrees numerically with previously known integral representations of the kernel. The derivation of our formula relies on a duality c 26-c that is obeyed by the shift equations for the fusion and modular kernels. We conjecture that for c<1 the fusion and modular kernels are not smooth functions, but distributions.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.