Boundary Loop Models and 2D Quantum Gravity

Details Boundary Loop Models and 2D Quantum Gravity Boundary Loop Models and 2D Quantum Gravity

2007-03-25

arxiv.org/abs/hep-th/0703221v3

J.Stat.Mech.0708:P08023,2007

Physics

High Energy Physics

High Energy Physics - Theory

Typos corrected

Scientific paper

10.1088/1742-5468/2007/08/P08023

We study the O(n) loop model on a dynamically triangulated disk, with a new type of boundary conditions, discovered recently by Jacobsen and Saleur. The partition function of the model is that of a gas of self and mutually avoiding loops covering the disk. The Jacobsen-Saleur (JS) boundary condition prescribes that the loops that do not touch the boundary have fugacity n in [-2,2], while the loops touching at least once the boundary are given different fugacity y. The class of JS boundary conditions, labeled by the real number y, contains the Neumann (y=n) and Dirichlet (y=1) boundary conditions as particular cases. Here we consider the dense phase of the loop gas, where we compute the two-point boundary correlators of the L-leg operators with mixed Neumann-JS boundary condition. The result coincides with the boundary two-point function in Liouville theory, derived by Fateev, Zamolodchikov and Zamolodchikov. The Liouville charge of the boundary operators match, by the KPZ correspondence, with the L-leg boundary exponents conjectured by JS.

Affiliated with

Also associated with

No associations

Rating

Boundary Loop Models and 2D Quantum Gravity 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 Boundary Loop Models and 2D Quantum Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Boundary Loop Models and 2D Quantum Gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-68577