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Non-compact string backgrounds and non-rational CFT

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Figure

Figure 1: Graphical description of the fusing matrix. All the lines are directed as shown in the picture
Figure 2: Graphical representation of the crossing symmetry conditions. The double lines represent closed string modes and remind us of the two commuting chiral algebras (bared and unbarred) in a bulk theory.
Figure 3: With the help of operator product expansions in the bulk, the computa- computa-tion of n-point functions in a boundary theory can be reduced to computing 1-point functions on the half-plane
Figure 4: Equations (2.17), (2.18) are derived by comparing two limits of the 2- 2-point function
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