Degenerate conformal blocks for the $W_3$ algebra at c=2 and connection probabilities in the triple dimer model

Augustin Lafay, Ian Le, Julien Roussillon

We study a homogeneous system of $d+8$ linear partial differential equations (PDEs) in $d$ variables arising from two-dimensional Conformal Field Theories (CFTs) with a $W_3$-symme…