  In this work we derive braid group representations and Stokes matrices for
Liouville conformal blocks with one irregular operator. By employing the
Coulomb gas formalism, the corresponding conformal blocks can be interpreted as
wavefunctions of a Landau-Ginzburg model specified by a superpotential
$\mathcal{W}$. Alternatively, these can also be viewed as wavefunctions of a 3d
TQFT on a 3-ball with boundary a 2-sphere on which the operator insertions
represent Anyons whose fusion rules describe novel topological phases of
matter.
