Open Verlinde line operators

Abstract

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 Teichmüller theory, supersymmetric gauge theory and quantum groups

31 pages, 23 figures

References in corpus (3)

• Supersymmetric gauge theories, quantization of moduli spaces of flat connections, and conformal field theory
• Chern-Simons Theory and S-duality
• On the relation between the modular double of U_q(sl(2,R)) and the quantum Teichmueller theory