Open Verlinde line operators
  We reformulate the action of Verlinde line operators on conformal blocks in a 3d TFT language and extend it to line operators labelled by open paths joining punctures on the Riemann surface. We discuss the possible applications of open Verlinde line operators to quantum Teichm\"uller theory, supersymmetric gauge theory and quantum groups 
Davide Gaiotto
hep-th