On the Percolation BCFT and the Crossing Probability of Watts
| dc.creator | Ridout, David | |
| dc.date | 2008-08-26 | |
| dc.date | 2008-10-10 | |
| dc.date.accessioned | 2026-07-07T12:36:08Z | |
| dc.date.available | 2026-07-07T12:36:08Z | |
| dc.description | The logarithmic conformal field theory describing critical percolation is further explored using Watts' determination of the probability that there exists a cluster connecting both horizontal and vertical edges. The boundary condition changing operator which governs Watts' computation is identified with a primary field which does not fit naturally within the extended Kac table. Instead a "shifted" extended Kac table is shown to be relevant. Augmenting the previously known logarithmic theory based on Cardy's crossing probability by this field, a larger theory is obtained, in which new classes of indecomposable rank-2 modules are present. No rank-3 Jordan cells are yet observed. A highly non-trivial check of the identification of Watts' field is that no Gurarie-Ludwig-type inconsistencies are observed in this augmentation. The article concludes with an extended discussion of various topics related to extending these results including projectivity, boundary sectors and inconsistency loopholes. | |
| dc.description | 23 pages, 6 figures, some changes to discussion and fixed typos in referencing (final NPB version) | |
| dc.identifier | https://arxiv.org/abs/0808.3530 | |
| dc.identifier | http://arxiv.org/abs/0808.3530 | |
| dc.identifier | Nucl.Phys.B810:503-526,2009 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2008.09.038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217990 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On the Percolation BCFT and the Crossing Probability of Watts | |
| dc.type | text |