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Conformal two-boundary loop model on the annulus

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Figure 1: The conformal loop model on the annulus. Different Boltzmann weights are given to the loops, depending on their topology (contractible or not) and if they touch a boundary
Figure 2: A configuration of dense loops on the tilted square lattice. Loops touching at least once the first (resp
Figure 4: Action of the blobs on the oriented loops. The orientation of the loops is not conserved by the blobs.
Figure 6: Coulomb gas on the annulus. The boundaries x = 0 and x = L are identified, but there can be a difference of height h(x + L, y) = 2pπ + h(x, y), p ∈ Z because the charge is not conserved along a boundary (see also figure 4)
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