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hep-thApr 1, 2014
5
citations (OpenAlex)
authors
  • Davide Gaiotto
arXiv abstractPDF
paper

Open Verlinde line operators

arXiv:1404.0332

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 (9)

  • Loop and surface operators in N=2 gauge theory and Liouville modular geometry
  • The Virtue of Defects in 4D Gauge Theories and 2D CFTs
  • Knot Invariants from Four-Dimensional Gauge Theory
  • Irregular singularities in Liouville theory
  • An analog of a modular functor from quantized Teichm"uller theory
  • 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
  • RCFT with defects: Factorization and fundamental world sheets

Cited by in corpus (5)

  • Topological Defect Lines and Renormalization Group Flows in Two Dimensions
  • Lorentzian Dynamics and Factorization Beyond Rationality
  • Topological Field Theory with Haagerup Symmetry
  • Defect Partition Function from TDLs in Commutant Pairs
  • Non-rational su(2) cosets and Liouville field theory
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