Abstract:
We analyze conformal blocks with multiple (semi-)degenerate field insertions
in Liouville/Toda conformal field theories an show that their vector space is
fully reproduced by the four-dimensional limit of open topological string
amplitudes on the strip with generic boundary conditions associated to a
suitable quiver gauge theory. As a byproduct we identify the non-abelian vortex
partition function with a specific fusion channel of degenerate conformal
blocks.
