Boundary Loop Models and 2D Quantum Gravity
| dc.creator | Kostov, Ivan | |
| dc.date | 2007-03-25 | |
| dc.date | 2007-08-05 | |
| dc.date.accessioned | 2026-07-07T11:44:12Z | |
| dc.date.available | 2026-07-07T11:44:12Z | |
| dc.description | 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. | |
| dc.description | Typos corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/0703221 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0703221 | |
| dc.identifier | J.Stat.Mech.0708:P08023,2007 | |
| dc.identifier | doi:10.1088/1742-5468/2007/08/P08023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/201521 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | Boundary Loop Models and 2D Quantum Gravity | |
| dc.type | text |