Boundary flow in the dilute O(n) Model coupled to 2D Gravity

by Kazuo Hosomichi (Kyoto Univ.)

Tuesday 19 May 2009, 14:00 → 15:00 Europe/Zurich

TH Theory Conference Room (CERN)

Using the methods of 2D quantum gravity, we study the boundary problem in the O(n) loop gas model with the new boundary conditions introduced recently by Jacobsen and Saleur. The problem has two parameters controlling the total loop length and the number of times the loops touch the boundary respectively. We determine the location of the critical points, identify the operators associated to the bulk / boundary thermal perturbations and explore the phase structure of the problem.