On the crossing relation in the presence of defects

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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TEX file with harvmac; v3: JHEP version

Scientific paper

10.1007/JHEP04(2010)061

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.

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