Conformal two-boundary loop model on the annulus

Understand

We study the two-boundary extension of a loop model - corresponding to the dense phase of the O(n) model, or to the Q=n^2 state Potts model - in the critical regime -2 < n < 2.

• This model is defined on an annulus of aspect ratio \tau.
• Loops touching the left, right, or both rims of the annulus are distinguished by arbitrary (real) weights which moreover depend on whether they wrap the periodic direction.
• Any value of these weights corresponds to a conformally invariant boundary condition.