Year: 2024
Type: article
Abstract: We find a formula for the Virasoro fusion kernel at c=25 c = 25 , in terms of the connection coefficients of the Painlevé 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\to 26-c c → 26 − c that is obeyed by the shift equations for the fusion and modular kernels. We conjecture that for c<1 c < 1 the fusion and modular kernels are not smooth functions, but distributions.
Source: SciPost Physics
Authors: Sylvain Ribault, Ioannis Tsiares
Institution: Institut de Physique Théorique
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4388035841