Conformal two-boundary loop model on the annulus

Details Conformal two-boundary loop model on the annulus Conformal two-boundary loop model on the annulus

2008-12-15

arxiv.org/abs/0812.2746v1

Physics

Mathematical Physics

34 pages, 10 figures

Scientific paper

10.1016/j.nuclphysb.2008.12.023

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. We obtain the exact seven-parameter partition function in the continuum limit, as a function of \tau, by a combination of algebraic and field theoretical arguments. As a specific application we derive some new crossing formulae for percolation clusters.

Affiliated with

Also associated with

No associations

Rating

Conformal two-boundary loop model on the annulus does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Conformal two-boundary loop model on the annulus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conformal two-boundary loop model on the annulus will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-348833