On the crossing relation in the presence of defects

Abstract

The OPE of local operators in the presence of defect lines is considered both in the rational CFT and the $c>25$ Virasoro (Liouville) theory. The duality transformation of the 4-point function with inserted defect operators is explicitly computed. The two channels of the correlator reproduce the expectation values of the Wilson and 't Hooft operators, recently discussed in Liouville theory in relation to the AGT conjecture.

TEX file with harvmac; v3: JHEP version

References in corpus (6)

• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Loop and surface operators in N=2 gauge theory and Liouville modular geometry
• Duality and defects in rational conformal field theory
• Gauge Theory Loop Operators and Liouville Theory
• Defects and Permutation branes in the Liouville field theory
• Quantization of Wilson loops in Wess-Zumino-Witten models

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